The measure of angle 1 is 5 less then 4 times the measure of angle 2,

Question

the two angles = 180 and form a linear pair, what are their measures?

Answer 1

Let the angles are A and B.

A + B = 180° ---> (1)

A = 4B - 5

Substitute 4B - 5 for A in equation (1).

4B - 5 + B = 180

5B - 5 = 180

5B = 185

B = 37°

Substitute B = 37° in equation (1).

A + 37° = 180°

A = 180° - 37°

A = 143°

Measure of the first angle is 37° and second angle is 143°.