Q14 of 115 Page 9

The measure of an angle is twice the measure of its supplementary angle. Find its measure.

Given that,

Angle measured is twice its supplement

Let the angle measured be x

Therefore,

Supplement = (180^o – x)

According to the question

x^o = 2 (180^o – x)

3x = 360^o

x = 120^o

If the supplement of an angle is two-third of itself. Determine the angle and its supplement.

An angle is 14° more than its complementary angle. What is its measure?

In Fig. 8.31, OA and OB are opposite rays:

(i) If x = 25°, what is the value of y?

(ii) If y = 35°, what is the value of x?

In Fig. 8.32, write all pairs of adjacent angles and all the linear pairs.