Question

two triangles are complementary. the measure of the larger angle is 26 degrees more than three times the measure of the smaller angle. what is the measure of each angle?

Answer 1

Larger angle = 74 degree

Smaller angle = 16 degree

Step-by-step explanation:

Let's take smaller angle as x.

So larger angle will be 3x +26.

So their both sum should be 90(complementary angle)

So we can write x + (3x + 26) = 90

Same as 4x + 26 =90

4x = 90 - 26

Therefore 4x = 64

X = 64 / 4

Therefore x = 16

So smaller angle = 16

Larger angle = 3x +26

16 * 3 = 48

48 + 26 = 74