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Two angles forming a __________ pair are supplementary.

Two angles forming a linear pair are supplementary. Linear pair angles Linear pairs of angles are formed when two lines intersect each other at... View Article

Two lines in a plane which do not meet at a point anywhere are called________

Two lines in a plane that do not meet at a point anywhere are called parallel lines. Lines that do not intersect or meet at any point in a plane... View Article

If a transversal intersects two parallel lines, then alternate interior angles are on ____ the side of the transversal.

If a transversal intersects two parallel lines, then alternate interior angles are opposite the side of the transversal.... View Article

If a transversal intersects two parallel lines, then corresponding angles are on the _____ side of the transversal.

If a transversal intersects two parallel lines, then corresponding angles are on the same side of the transversal.... View Article

If a transversal intersects two parallel lines, then sum of interior angles on the same side of a transversal is______

If a transversal intersects two parallel lines, the sum of interior angles on the same side of a transversal is 180o A transversal is... View Article

A transversal intersects two or more than two lines at _________ points.

A transversal intersects two or more than two lines at distinct points. A transversal is defined as a line that passes through two lines in the... View Article

If the sum of measures of two angles is 180⁰, then they are _________.

If the sum of measures of two angles is 180o, then they are supplementary. When the sum of two angles is 180°, then the angles are known as... View Article

If sum of measures of two angles is 90⁰, then the angles are _________.

If the sum of measures of two angles is 90o, then the angles are complementary. When the sum of the measures of two angles is 90o, then the... View Article

In figure, if PQ||RS and QR||TS, then the value a is (a) 95⁰ (b) 90⁰ (c) 85⁰ (d) 75⁰

The correct answer is (a) 95o Solution From the figure,We know that, corresponding angles are equal So, ∠ RQP... View Article

In figure PQ||ST. Then, the value of x + y is (a) 125⁰ (b) 135⁰ (c) 145⁰ (d) 120⁰

The correct answer is (b) 135o Solution From the figure, we observe that We know that, sum of angles on the straight is equal to... View Article

In figure which of the following is true? (a) ∠1 = ∠5 (b) ∠4 = ∠8 (c) ∠5 = ∠8 (d) ∠3 = ∠7

The correct answer is (c) ∠5 = ∠8 Solution From the figure,we observe that PQ||RS ∠5 = ∠8 [interior alternate angles... View Article

In figure which one of the following is not true? (a) ∠1 + ∠5 = 180⁰ (b) ∠2 + ∠5 = 180⁰ (c) ∠3 + ∠8 = 180⁰ (d) ∠2 + ∠3 = 180⁰

The correct answer is (d) ∠2 + ∠3 = 180o Solution We know that interior opposite angles are equal ∠2 = ∠3... View Article

In figure line l intersects two parallel lines PQ and RS. Then, which one of the following is not true? (a) ∠1 = ∠3 (b) ∠2 = ∠4 (c) ∠6 = ∠7 (d) ∠4 = ∠8

The correct answer is (d) ∠4 = ∠8 Solution ∠4 ≠ ∠8 All the other angles given in the figure are equal due to... View Article

In figure PQ||RS and a : b = 3 : 2. Then, f is equal to (a) 36⁰ (b) 108⁰ (c) 72⁰ (d) 144⁰

The correct answer is (b) 108o Solution From the figure, we observe that PQ||RS. From the given details, we note that a: b = 3: 2 So, let... View Article

In figure PQ || RS. If ∠1=(2a+b)⁰ and ∠6=(3a–b)⁰, then the measure of ∠2 in terms of b is (a) (2+b)⁰ (b) (3–b)⁰ (c) (108–b)⁰ (d) (180–b)⁰

The correct answer is (c) (108–b)oo Solution (c) (108–b)o From the given details we know that ∠1 = (2a + b)o and ∠6 =... View Article

In figure lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to (a) 126⁰ (b) 144⁰ (c) 136⁰ (d) 154⁰

The correct answer is (b) 144o Solution From the figure, we observe that the Sum of all angles about a straight line given in the figure are... View Article

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