Question

10. Find the value of unknown angle : (b)

11. Write the supplement of the following :
(a) 75°
(b) 113°
(c) x°​

Answer 1

Answer:

u = 55

v = 125

opposite angles are equal

a) 105

b) 67

c) 180 - X

supplementary angles are angles which when added from 180 degrees

Answer 2

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We know that vertically opposite angles are always equal.

Therefore v=125°

And u=55°

Now,

To determine the supplement of an angle, we have to subtract the given angle from 180°

AND

To find the complement subtract the angle given from 90°.

1) 75°

Supplement of an angle x= 180-x

=> 180-75

=>105°

Similarly, if you need to find the complement of this angle, subtract it from 90°

90-75=15°

2) 113°

Supplement of 113°=180-113

=67°

3) x°

Supplement of an angle x= 180-x

Answer=> 180-x°

Hope this helped!