Question

Supplementary angles are angles whose sum is​ 180°. two supplementary angles are such that one angle is 3 degrees° less than less than twice twice the other. find the measures of the angles.

Answer 1

a+b=180
a=2b-3
a=180-b
2b-3=180-b
3b=183
b=61
a=119

Answer 2

The value of the angles are 61° and 119° respectively.

Total angles in a supplementary angle = 180°

Let the first angle be represented by x

Based on the information given, the second angle will be: = 2x - 3

Therefore, we'll then add the two angles and equate them to 180°. This will be:

x + 2x - 3 = 180°

3x - 3 = 180°

3x = 180° + 3°

3x = 183°

x = 183°/3

x = 61°

First angle = 61°

Second angle = 2x - 3 = 2(61) - 3 = 121 - 3 = 119°

Therefore, the value of the angles are 61° and 119° respectively.

Read related link on:

https://brainly.com/question/7673191