S.chand class 6 Mathematics Chapter 17 Exercise 17E

 Exercise 17E

Question 1

Find the value of $x$ in each of the following diagrams.

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Question 2

In the given Fig. Q. 2, if $\angle P O A=100^{\circ}$, find the value of $\angle Q O R$.

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Question 3

Find the value of $x$ in the Fig. Q.3.

Question 4

Refer to Fig. Q.4, copy and complete the table.

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	∠XOZ	∠ZOW	∠WOY
(i)	65°	?	30°
(ii)	28°	98°	?
(iii)	70°	70°	?
(iv)	50°	?	60°
(v)	35°	80°	?

Question 5

In the given Fig. Q.5, two straight lines intersect at 0 . Copy and complete the following table beside the figure.

<img>

S.No	∠a	∠b	∠c	∠d
(i)	25°	.....	.....	...
(ii)	...	80°	...	...
(iii)	...	....	140°	...
(iv)	...	...	...	116°

Question 6

In the given Fig. Q.6, find the number of degrees in

<img>

(i) 

(a) $\angle 1$

(b) $\angle 2$

(c) $\angle 3$

(ii) 

(a) $\angle 6$

(b) $\angle 7$

(iii) 

(a) $\angle 4$

(b) $\angle 5$

Question 7

Complete the following tables.

Angle	Complement	Supplement
5°	?	?
25°	?	?
88°	?	?

Angle	Supplement
95°	?
104°	?
175°	?

Question 8

(i) Find measure of an angle which is $20^{\circ}$ less than its complement.

(ii) Find the measure of the angle, which is four times its complement.

Question 9

(i) Find the angles when two angles are supplementary and the larger is $58^{\circ}$ more than the smaller.

(ii) Two angles are supplementary and the larger is $40^{\circ}$ less than three times the smaller. Find the smaller angle.

Question 10

Write 'T' for True or ' $F$ ' for False.

(i) Adjacent angles can be complementary.

(ii) Adjacent supplementary angles form a linear pair.

(iii) Two supplementary angles always form a linear pair.

(iv) If two lines intersect, then one pair of vertically opposite angles always consists of acute angles and the other obtuse angles.

(v) Two adjacent angles are always supplementary.

(vi) Angles of a linear pair are always supplementary.