Free Printable 9th chp 6 lines and angles

1.

An angle which measures more than $180\degree$ but less than $360\degree$ , is called ...

a)

an acute angle

b)

an obtuse angle

c)

a straight angle

d)

a reflex angle

2.

Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measures

a)

$72\degree$

b)

$54\degree$

c)

$63\degree$

d)

$36\degree$

3.

In figure , AOB is a straight line . If x:y:z = 4:5:6, then y = ?

a)

$60\degree$

b)

$80\degree$

c)

$48\degree$

d)

$72\degree$

4.

In the given figure, straight lines AB and CD intersect at O. If

\angle AOC\ =\ \phi,\ \angle BOC\ =\ \theta\ and\ \theta\ =\ 3\phi,\ then\ \phi\ =\ ?

a)

$30\degree$

b)

$40\degree$

c)

$45\degree$

d)

$60\degree$

5.

In given figure AB is mirror, PQ is the incident ray and QR is the reflected ray. If

\angle PQR\ =\ 108\degree,\ then\ \angle AQP\ =\ ?

a)

$72\degree$

b)

$18\degree$

c)

$36\degree$

d)

$54\degree$

6.

In the given figure,

AB\ \parallel\ CD.\ If\ \angle AOB\ =\ 124\degree,\ \angle OCD\ =\ 136\degree,\ then\ \angle AOC\ =\ ?

a)

$80\degree$

b)

$90\degree$

c)

$100\degree$

d)

$110\degree$

7.

in given figure,

AB\ \parallel CD.\ If\ \angle BAO\ =\ 60\degree\ and\ \angle OCD\ =\ 110\degree,\ then\ \angle AOC\ =\ ?

a)

$70\degree$

b)

$60\degree$

c)

$50\degree$

d)

$40\degree$

8.

In figure, which of the following statements are true ?

$\left(i\right)\ a+b\ =\ d\ +c\ \ \ \left(ii\right)\ a+c+e\ =\ 180\degree\ \left(iii\right)\ b+f\ =\ c+e$

a)

(i) only

b)

(ii) only

c)

(iii) only

d)

(ii) and (iii) only

9.

$In\ figure,\ AB\ \parallel\ CD\ \parallel\ EF\ and\ GH\ \parallel\ KL.\$ The measure of $\angle HKL$ is

a)

$54\degree$

b)

$120\degree$

c)

$108\degree$

d)

$136\degree$

10.

AB and CD are two parallel lines, PQ cuts AB and CD at E and F respectively. EL is the bisector of $\angle FEB$ .

$If\ \angle LEB\ =\ 35\degree,\ then\ \angle CFQ\ =\ ?$ (draw diagram and solve )

a)

$55\degree$

b)

$70\degree$

c)

$110°$

d)

$130°$

11.

Two lines AB and CD intersect each other at O. If $\angle AOC\ +\ \angle COB\ +\ \angle BOD\ =\ 270\degree$ , then $\angle AOC\ =\ ?$

a)

$70\degree$

b)

$80\degree$

c)

$90\degree$

d)

$180\degree$

12.

$AB\ \parallel\ HF\ and\ DE\ \parallel\ FG,\$ then measure of $\angle FDE\ =\$ ..

In figure, if

a)

$108\degree$

b)

$80\degree$

c)

$100\degree$

d)

$90\degree$

13.

In give figure, x = ?

a)

$\alpha\ +\ \beta\ -\ \Upsilon$

b)

$\alpha\ -\ \beta\ +\ \Upsilon$

c)

$\alpha\ +\ \beta\ +\ \Upsilon$

d)

$none\ of\ these\$

14.

The sides BC, CA and AB of

\Delta\ ABC

have been produced to D, E and F respectively as shown in figure, forming exterior angles,

\angle ACD,\ \angle BAE\ and\ \angle CBF.\

Then

\angle ACD+\ \angle BAE\ +\angle CBF\ =\ ?\

a)

$240\degree$

b)

$300\degree$

c)

$320\degree$

d)

$360\degree$

15.

In given figure,

\angle BAC\ =\ 40\degree,\ \angle ACB\ =\ 90\degree\ and\ \angle BED\ =\ 100\degree,\

Then,

\angle BDE\ =\ ?

a)

$50\degree$

b)

$30\degree$

c)

$40\degree$

d)

$25\degree$

16.

In given figure, BO and CO are the bisectors of $\angle B\ and\ \angle C$ respectively. If $\angle A$ = $50\degree$ , then $\angle BOC\ =\ ?$

a)

$130\degree$

b)

$100\degree$

c)

$115\degree$

d)

$120\degree$

17.

In a $\Delta\ ABC$ , it is given that $\angle A:\angle B:C\ =\ 3:2:1$ and CD $\perp$ AC, Then $\angle ECD\ =\ ?$

a)

$60\degree$

b)

$45\degree$

c)

$75\degree$

d)

$30\degree$

18.

If the vertical angle of the triangle is $130\degree$ , then angle between the bisectors of the base angles of the triangle is

a)

$65\degree$

b)

$100\degree$

c)

$130\degree$

d)

$155\degree$

19.

The sides BC, BA and CA of $\Delta\ ABC$ have been produced to D, E and F respectively, as shown in the given figure. Then, $\angle B\ =\ ?$

a)

$35\degree$

b)

$55\degree$

c)

$65\degree$

d)

$75\degree$

20.

In the adjoining figure, y = ?

a)

$36\degree$

b)

$54\degree$

c)

$63\degree$

d)

$72\degree$

9th chp 6 lines and angles

Total questions: 20

Worksheet time: 32mins

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