two angles are supplementary. the measure of the larger angle is 4 times more greater than the measure of the smaller angle what is the measure of the smaller angle

36°

Step-by-step explanation:

Let the measure of the smaller angle be x and the larger angle be 4x.

Complementary angles add up to 180°.

Smaller angle + Bigger angle = 180°

x + 4x = 180°

5x = 180°

x = 180° ÷ 5

x = 36°

Smaller angle = 36°

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5