Question

Two angles are supplementary and have a ratio of 1 : 4 , then what is the difference between the measure of the two angles ? *

Answer 1

Answer:

Supplementary Angles

Supplementary AnglesLet the measure of one of the supplementary angles be a .

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.So, a+2a=180°

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.So, a+2a=180°3a=180°

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.So, a+2a=180°3a=180°To isolate a , divide both sides of the equation by 3 .

Supplementary AnglesLet the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.So, a+2a=180°3a=180°To isolate a , divide both sides of the equation by 3 .3a3=180°3 a=60°