Angle

Q.

All linear pair of angles are supplementary but all supplementary angles need not necessarily form a linear pair. Say True or False.

1. True

2. False

Q. Compare the sum of the angles of an acute-angled triangle (x) with that of an obtuse-angled triangle (y).

1. x > y
2. x < y
3. x = y
4. Cannot find

Q.

An angle is ${20}^{\circ }$ less than thrice its supplement. Find the angle.

1. ${130}^{\circ }$

2. ${90}^{\circ }$

3. ${62.5}^{\circ }$

4. ${150}^{\circ }$

Q.

In the adjoining figure, the value of $\angle A+\angle B+\angle C+\angle D+\angle E+\angle F$ in degrees is ___.

1. ${320}^{\circ }$
2. ${400}^{\circ }$
3. ${300}^{\circ }$

4. ${360}^{\circ }$

Q.

In the adjoining figure, the value of $\angle A+\angle B+\angle C+\angle D+\angle E+\angle F$ in degrees is

___

Q.

${45}^{\circ }$ angle is drawn. The value of its supplementary angle is _____.

1. ${45}^{\circ }$

2. ${205}^{\circ }$

3. ${135}^{\circ }$

4. ${90}^{\circ }$

Q.

Find the measure of an angle which forms a pair of supplementary angles with itself. [1 MARK]

Q. Which of the following is an example of reflex angle ?

1. ${55}^o$
2. ${125}^o$
3. ${255}^o$
4. ${180}^o$

Q. Are the following pairs of angles supplementary ?
(1) ${139}^{\circ }$ and ${39}^{\circ }$
(2) $26{59}^{\prime }$ and ${153}^{\circ }{1}^{\prime }$

Q.

When twice an angle is added to ${45}^{\circ }$ we get the supplement of this angle. Find the angle.

1. 45^o

2. 55^o

3. 135^o

4. 90^o

Q.

Find the complement of the following angles: $52°3122"$

Q. In the given figure, $\angle ACD={120}^{\circ }$
Find the value of $\angle BCD$.

1. ${40}^{\circ }$
2. ${60}^{\circ }$
3. ${70}^{\circ }$
4. ${80}^{\circ }$

Q. Find the complement of angle 72${}^{\circ }$.

1. 28${}^{\circ }$
2. 90${}^{\circ }$
3. 18${}^{\circ }$
4. 42${}^{\circ }$

Q. Common start point of two rays is called of an angle formed between the rays.

Q. Find the angle, if its supplement is three times of its complement.

Q. Sam is standing at point A on the circular park and start moving on its boundary. After covering half of the circumference of the park, he stopped at point B. Point O is centre of the park. Which of the following is equal to $\angle AOB$?

1. ${90}^o$
2. ${270}^o$
3. ${180}^o$
4. ${360}^o$

Q.

Question 81(iii)

Two angles have a common vertex and their arms form opposite rays (figure). Then
Write all the pairs of vertically opposite angles

Q. Match the terms related to the diagram given below:

1. $OA$ and $OB$
2. $O$
3. $\angle AOB$
4. Arms
5. Vertex
6. Degree Measure

Q.

Three rays originates from a point as shown. $\angle$AOB is ${145}^{\circ }$ and ∠AOC is ${45}^{\circ }$. Then $\angle$BOC is ___.

1. less than ${90}^{\circ }$

2. ${90}^{\circ }$

3. depends on orientation of rays.

4. more than ${90}^{\circ }$

Q. In following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

Q. Draw three appropriate figures satisfying each of the following criteria:
Criterion (1): When sum of two acute angles is an obtuse angle.
Criterion (2) When sum of two acute angles is NOT an obtuse angle.
Criterion (3) When a straight angle is formed using right angles.

Q. What will the volume of the given rectangular prism be?

1. $64cu$ units
2. $48cu$ units
3. $81cu$ units
4. $54cu$ units

Q. Draw rough diagrams of two angles such that they have: One point in common.

Q.

If angle $P$ and angle $Q$ are supplementary and the measure of angle $P$ is ${60}^{\circ }$, then the measure of angle $Q$ is

1. ${120}^{\circ }$

2. ${60}^{\circ }$

3. ${30}^{\circ }$

4. ${20}^{\circ }$

Q. The vertex is the point where two rays begin or originate.

1. True
2. False

Q. If two intersecting lines are intersected by a transversal, then corresponding angles are equal.

1. True
2. False
3. Ambiguous
4. Data Insufficient

Q. The angle which is twice its supplement is:

1. ${120}^o$
2. ${90}^o$
3. ${60}^o$
4. ${30}^o$

Q. (a) Find x in the below diagram. What are such triangles called?




(b) In a triangle ABC, an altitude is dropped from A to BC at D. $\angle$BAC=40°$\angle$BAD=30°, $\angle$B=(2x+4)°, $\angle$C=(4x-k)°.Find x, k and other angles. [4 MARKS]

Q. ______ angle is made by the hour and minute hands of the given clock.

1. Acute
2. Right
3. Obtuse
4. Zero

Q.

There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40^o). Can you find the unknown angle shown in the figure (in degrees)?

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