Question

Two angle are supplementary if their sum is 180. The large angle measure five degrees more than four times the measure of a smaller angle. If x represents the measure of the smaller angle and this two are supplementary, find the measure of each angle

Answer 1

35,145

Explanation:

angle 1+angle 2=180 degrees

x=angle 1

x+4x+5=180

4x+5 is angle 2 (larger angle) bc it is 5 more than 4 time the measure of the smaller angle

now we solve

x+4x+5=180

5x+5=180

5x=175

x=35

the smaller angle is 35 degrees

4x+5=bigger angle

4(35)+5=

140+5=

145=bigger angle

Answer 2

35 degrees

Explanation:

4x + 5 (the measure of the large angle) + x (the measure of the supplementary angle) = 180. Therefore x = 35