Q5 of 115 Page 9

Two supplementary angles are in the ratio 4 : 5. Find the angles.

Supplementary angles are in the ratio 4: 5

Let the angles be 4x and 5x.

It is given that they are supplementary angles

Therefore,

4x + 5x = 180^o

x = 20^o

Hence, 4x = 80^o

5x = 100^o

Therefore, angles are 80^o and 100^o.

If an angle is 28° less than its complement, find its measure.

If an angle is 30° more than one half of its complement, find the measure of the angle.

Two supplementary angles differ by 48°. Find the angles.

An angle is equal to 8 times its complement. Determine its measure.