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Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2. (i) How many people are there per km2 in both these States? (ii) Which State is less populated?

Given Population of Rajasthan = 570 lakhs Population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh km2 Area of UP = 2 lakh km2. Find... View Article

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Given There are 3 computers for every 6 students in the computer lab Find out Number of computers needed for 24 students Solution From... View Article

Find the ratio of: 9 m to 27 cm

9 m to 27 cm Solution We have to find the ratio of 9 m to 27 cm We know that, 1 m = 100 cm 9 m = 9 × 100 = 900 cm To find the ratio,... View Article

Find the ratio of: 15 kg to 210 g

15 kg to 210 g Solution We have to find the ratio of 15 kg to 210 g We know that, 1 kg = 1000 g 15 kg = 15 × 1000 = 15000 g To find... View Article

Find the ratio of: ₹ 5 to 50 paise

₹ 5 to 50 paise Solution We have to find the ratio of ₹ 5 to 50 paise We know that, ₹ 1 = 100 paise ₹ 5 = 5 × 100 = 500 paise... View Article

In the given figures below, decide whether l is parallel to m.

We have to find if the lines in the given figures are parallel or not. (i) Answer Let us answer the two lines l and m, n is the transversal... View Article

In the given figure, the arms of two angles are parallel.

Solution (i) Let us assume that AB ∥ DG BC is the transversal line intersecting AB and DG From the property of corresponding... View Article

Find the value of x in each of the following figures if l ∥ m.

(i) Solution:- Let us assume other angle on the line m be ∠y, Then, From the property of corresponding angles, ∠y = 110o We know... View Article

In the adjoining figure, p ∥ q. Find the unknown angles.

Solution:- From the figure we get to know that ∠d = ∠125o … [∵ corresponding angles] We know that, Linear pair is the sum of... View Article

In the adjoining figure, identify (i) The pairs of corresponding angles. (ii) The pairs of alternate interior angles. (iii) The pairs of interior angles on the same side of the transversal. (iv) The vertically opposite angles.

(i) The pairs of corresponding angles. Answer From the figure we get to know that the pairs of corresponding angle are, ∠1 and ∠5,... View Article

State the property that is used in each of the following statements? (i) If a ∥ b, then ∠1 = ∠5. (ii) If ∠4 = ∠6, then a ∥ b. (iii) If ∠4 + ∠5 = 180o, then a ∥ b.

(i) If a ∥ b, then ∠1 = ∠5. Answer The property used here is Corresponding angles property in the above statement. (ii) If ∠4 =... View Article

In the adjoining figure, name the following pairs of angles. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair

(i) Obtuse vertically opposite angles Answer In the given figure ∠AOD and ∠BOC are obtuse vertically opposite angles. (ii) Adjacent... View Article

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite... View Article

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Archives

Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2. (i) How many people are there per km2 in both these States? (ii) Which State is less populated?

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Find the ratio of: 9 m to 27 cm

Find the ratio of: 15 kg to 210 g

Find the ratio of: ₹ 5 to 50 paise

In the given figures below, decide whether l is parallel to m.

In the given figure, the arms of two angles are parallel.

Find the value of x in each of the following figures if l ∥ m.

In the adjoining figure, p ∥ q. Find the unknown angles.

In the adjoining figure, identify (i) The pairs of corresponding angles. (ii) The pairs of alternate interior angles. (iii) The pairs of interior angles on the same side of the transversal. (iv) The vertically opposite angles.

State the property that is used in each of the following statements? (i) If a ∥ b, then ∠1 = ∠5. (ii) If ∠4 = ∠6, then a ∥ b. (iii) If ∠4 + ∠5 = 180o, then a ∥ b.

In the adjoining figure, name the following pairs of angles. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are __________.

If two lines intersect at a point, then the vertically opposite angles are always _____________.

If two adjacent angles are supplementary, they form a ___________.

Two angles forming a linear pair are _______________.

If two angles are supplementary, then the sum of their measures is ______.

If two angles are complementary, then the sum of their measures is _______.

Find the values of the angles x, y, and z in each of the following:

In the following figure, is ∠1 adjacent to ∠2? Give reasons.

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