Finding Unknown Angles

Q. The sum of two straight angles is a .

1. right angle
2. straight angle
3. complete angle

Q. Question 3
In the adjoining figure, $p\parallel q$. Find the unknown angles.

Q.

(a) Find the value of x, if l is parallel to m and a is parallel to b.


(b)Find the value of x.

[4 MARKS]

Q. In the given figure, AB || CD. If $\angle CAB={80}^o$ and $\angle EFC={25}^o$, then ∠CEF = ____.

1. ${65}^{\circ }$
2. ${75}^{\circ }$
3. ${45}^{\circ }$
4. ${55}^{\circ }$

Q.

Question 14 (v)
In the adjoining figure, name the following pairs of angles:
Adjacent angles that do not form a linear pair.

Q.

Angle between minute hand and hour hand at $5$ oclock is $?$

Q. In the given figure, AB || CD. If $\angle ABO={130}^0$ and $\angle OCD={110}^o$, then ∠BOC = ____.

1. ${80}^{\circ }$
2. ${100}^{\circ }$
3. ${120}^{\circ }$
4. ${60}^{\circ }$

Q. In the figure given below, LOM is a straight line. What is the value of x?

1. ${50}^{\circ }$
2. ${80}^{\circ }$
3. ${60}^{\circ }$
4. ${70}^{\circ }$

Q.

Find the value of x and y.

1. x=${80}^{\circ }$ y = ${90}^{\circ }$
2. x=${70}^{\circ }$ y = ${60}^{\circ }$
3. x=${60}^{\circ }$ y = ${60}^{\circ }$
4. x=y = ${90}^{\circ }$

Q.

Two acute angles can be supplementary.

1. False

2. True

Q.

Consider two angles - $\angle$ABC and $\angle$XYZ. Following information is given about the angles:

1. $\angle$ABC and $\angle$XYZ are supplementary
2. $\angle$ABC is acute.

Based on this information, which of the following can NOT be the numerical value of $\angle$XYZ?

1. 89°

2. 175°

3. 91°

4. 179°

Q.

Find the supplementary angle of $(x-30)°$

Q.

Question 3 (b)

Write down the measure of:
Some obtuse angles

Q. The angle obtained when a straight angle is bisected is.

1. ${80}^{\circ }$
2. ${90}^{\circ }$
3. ${180}^{\circ }$

Q.

Question 26

Fill in the blanks to make the statement true.

The number of right angles in a straight angle is ______ and that in a complete angle is ________.

Q. MN, OP, and QR are three lines intersecting at the same point A, as shown in the figure below. Find the value of 5a, if x = 3a, y = 5x, and z = 6x.

1. $5^{\circ }$
2. ${10}^{\circ }$
3. ${25}^{\circ }$
4. ${12}^{\circ }$

Q.

Find the complement of the following angles: $(x+2y)°$

Q.

After angle bisection, the obtained angle is ${52}^{\circ }$. How many degrees is the angle that was bisected?

__ degree.

Q.

Find the angle between the hands of the clock given below.

Q. In the figure given below, AB is parallel to CD. Find the measures of x and y.

1. ${30}^{\circ },{20}^{\circ }$
2. ${20}^{\circ },{30}^{\circ }$
3. ${20}^{\circ },{20}^{\circ }$
4. ${30}^{\circ },{30}^{\circ }$

Q.

Find the supplementary angles corresponding to all the angles of a right angle isosceles triangle [2 MARKS]

Q. In the figure given below, AB || CD, ∠APQ = 50°, and ∠PRD = 127°. Find the measure of ∠x and ∠y.

1. ${50}^{\circ },{67}^{\circ }$
2. ${77}^{\circ },{50}^{\circ }$
3. ${77}^{\circ },{57}^{\circ }$
4. ${50}^{\circ },{77}^{\circ }$

Q. Supplement of an obtuse angle is obtuse.

1. True
2. False

Q. Find the angle between the hour hand and the minute hand of a clock at 2 p.m.

1. 60${}^{\circ }$​

2. 30${}^{\circ }$​

3. 45${}^{\circ }$​

4. 90${}^{\circ }$​

Q. In the given figure, CD and FE are parallel lines. Find the value of x.

1. ${12}^{\circ }$
2. ${13}^{\circ }$
3. ${14}^{\circ }$
4. ${15}^{\circ }$

Q.

In the figure given below, $\angle$COD = ${150}^{\circ }$. Choose the correct option.

1. AOB =

2. BOC =

3. AOD =

4. AOD =

Q.

One of the 2 complementary angles is 6 less than twice the other. Find the measure of the larger angle.

1. ${58}^{\circ }$

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

3. ${65}^{\circ }$

4. ${55}^{\circ }$

Q.

Three lines AB, CD and EF interesect each other at O. If $\angle AOE={30}^{\circ }and\angle DOB={40}^{\circ }$ (see the figure). Find $\angle COF.$

1. ${110}^{\circ }$

2. ${70}^{\circ }$

3. ${55}^{\circ }$

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

Q. In the given figure; PQR is a straight line. If $\angle$PQS = ${110}^{\circ }$ ; find $\angle$ RQS.

Q. Khushboo is facing the Amusement Park. She turns in anticlockwise direction to face the Beach, what angle did she turn through?

1. ${45}^o$
2. ${225}^o$
3. ${135}^o$
4. ${315}^o$