Question

3.
Supplement of an angle is one fourth of
itself. The measure of the angle is
(a) 13°
(b) 36°
(c) 144°
(d) 72°
please explain this question in detail I will give you stars​

Answer 1

Answer:

Since the supplement of an angle is 1/4th of itself, the ratio of the two angles will be 4:1

Let the angles be 4x and x. Since the angles are supplementary:

4x + x = 5x = 180

=> x = 180/5 = 36

Therefore the angles are:

x = 36°, and

4x = 144°

Answer 2

Answer:

let the measure of angle be x

then, it's supplement = 180 - x

A/q

$\frac{x}{4} = 180 - x \\ \frac{x}{4} + x = 180 \\ \frac{x + 4x}{4} = 180 \\ \frac{5x}{4} = 180 \\ x = \frac{180 \times 4}{5} \\ x = 144$

hope it helps