Question

An angle is half the measure of its supplementary angle find the measure of that angle

Answer 1

Answer:

angle=x,

supplementary angle=180-x

x = (180-x)/2

2x = 180-x

2x+x=180

3x = 180

x = 60

angle=60 degree. Ans

Answer 2

SOLUTION:

Given:

An angle is half the measure of its supplementary angle.

To find:

The measure of that angle.

Explanation:

•Two angles are supplementary if their sum is 180°

•Let R be the angle.So,

Supplementary angle is (180°-R)

A/q

$= > R = \frac{1}{2}(180 \degree - R) \\ \\ = > 2R= 180 \degree - R \\ \\ = > 2R+ R = 180 \degree\\ \\ = > 3R= 180 \degree \\ \\ = > R = \frac{180 \degree}{3} \\ \\ = > R = 60 \degree$

Thus,

The angle is 60°

&

The angle is (180- 60)° = 120°

Thank you.