Different Types of Angles

Q.

Find the measure of an angle which is ${30}^{\circ }$ more than one half of its complement.

Q.

In a $△$ABC, if 2$\angle$A = 3$\angle$B = 6$\angle$C, determine $\angle$A, $\angle$B and $\angle$C

Q.

Two supplementary angles differ by $48°$. Find the angles.

Q.

Two supplementary angles are in the ratio 7 : 8. Find the angles.

1. ${94}^{\circ },{86}^{\circ }$

2. ${74}^{\circ },{106}^{\circ }$

3. ${80}^{\circ },{100}^{\circ }$

4. ${84}^{\circ },{96}^{\circ }$

Q. One of the angles of a triangle is ${130}^{\circ }$, and the other two angles are equal. What is the measure of each of these equal angles?

1. ${25}^{\circ }$
2. ${29}^{\circ }$
3. ${45}^{\circ }$
4. ${35}^{\circ }$

Q.

Are the two lines parallel perpendicular or neither?

Q. In the figure, OB is perpendicular to OA and $\angle BOC={49}^{\circ }$. Find the value of $\angle AOD$.

1. ${239}^{\circ }$
2. ${159}^{\circ }$
3. ${139}^{\circ }$
4. ${149}^{\circ }$

Q.

Question 80

In the given figure OR $\perp$ OP,

(i) Name all the pairs of adjacent angles.
(ii) Name all the pairs fo complementary angles.

Q.

Question 81(i)

If two angles have a common vertex and their arms form opposite rays (figure). Then
How many angles are formed?

Q.

The three angles $(5x+4{)}^{\circ }$, $(x-2{)}^{\circ }$ and $(3x+7{)}^{\circ }$ forms a straight angle.

Find the value of $x$.

1. ${21}^{\circ }$.

2. ${22}^{\circ }$.

3. ${19}^{\circ }$.

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

Q. Question 6
Construct a square of side 3cm.

Q.

$O$ is the point of intersection of angle bisectors of triangle $ABC.$ The inradius of the triangle $ABC$ is $OA.$

1. True

2. False

Q. If in the below triangle $\angle B$ = 60${}^o$, which type of triangle is it and why?
[4 MARKS]

Q.

Find the complement of the following angles: $45°22$

Q. (a) In the given figure, the value of xis: [2 MARKS]


(b) An angle is greater than ${45}^{\circ }$. Is its complementary angle greater than ${45}^{\circ }$ ​​​​or equal to ${45}^{\circ }$ or less than ${45}^{\circ }$?

Q. Match the following:

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${130}^{\circ }$
4. ${180}^{\circ }$

Q.

An angle is equal to one-third of its supplement. Find its measure. [2 MARKS]

Q. Question 11
In the given figure, lines l and m intersect each other at a point. Which of the following is false?

(a) $\angle a=\angle b$
(b) $\angle d=\angle c$
(c) $\angle a+\angle d={180}^{\circ }$
(d) $\angle a=\angle d$

Q.

Lines AB and CD intersect at point O. If ∠AOC + ∠BOE = 100° , find ∠COE.

1. 60°

2. 50°

3. 80°

4. 40°

Q. Measure of the given angle is:

1. 89
2. 135
3. 360
4. 180

Q. Two supplementary angles are in the ratio 2:3. The angles in degrees are and .

1. 72
2. 108
3. 36
4. 144

Q.

Q.

Construct the diagonal of a square of side 5 cm using angle bisector construction method. What is the angle made by the diagonal with a side of the square?[3 MARKS]

Q.

Two angles ${30}^{\circ }$ and twice of another angle x are supplementary angles. Find the value of x (in degrees).

Ans:___

Q.

Two complementary angles are in the ratio of $4:5$. The angles are $30°$ and $40°$?

1. True
2. False

Q. In the given figure, find the value of y.

Q.

Two supplementary angles are in the ratio 7 : 8. Find the angles.

1. ${84}^{\circ },{96}^{\circ }$

2. ${94}^{\circ },{86}^{\circ }$

3. ${74}^{\circ },{106}^{\circ }$

4. ${80}^{\circ },{100}^{\circ }$

Q. Find the value of x in the following figure.

Q.

If two complementary angles are equal then each is equal to

1. $45°$

2. $90°$

3. $180°$

4. $50°$

Q.

An angle 'x' is ${14}^{\circ }$ more than its complement. Find the angle.

1. 38°

2. 52°

3. 50°

4. 104^o