Question

If the measure of an angle is thrice the measure of its supplementary angle , then find the measure of angles ?​

Answer 1

Answer:

3x+x=180

4x=180

x=180/4

45

so one measure is 45

Answer 2

Given - Comparison of measure of angle

Find - Measure of angles

Solution - Let the supplementary angle be x. So, the measure of angle will be 3x. The sum of supplementary angles is 180°. Representing the given information in mathematical form -

x + 3x = 180

Performing addition

4x = 180

Shifting 4 to Right Hand Side and performing division

x = $\frac{180}{4}$

$x = 45$

Measure of angle = x

Measure of angle = 45°

Measure of supplementary angle = 3x

Measure of supplementary angle = 3*45

Performing multiplication

Measure of supplementary angle = 135°

So, measure of angles are 45° and 135°.