Question

A figure displays two adjacent complementary angles with measures (x+3)° and (4x−2)° . What is the equation of the angles measures????

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the two angles are complementary, their measures should add up to 90 degrees.

So, the equation is:

(x + 3) + (4x - 2) = 90

Simplifying:

5x + 1 = 90

Subtracting 1 from both sides:

5x = 89

Dividing both sides by 5:

x = 17.8

So, the measures of the angles are:

(x + 3)° = 17.8 + 3 = 20.8°

(4x - 2)° = 4(17.8) - 2 = 71.2°

Therefore, the equation of the angle measures is:

20.8° and 71.2°.