a figure displays two adjacent complementary angles with measure ( x + 3)and ( 4x - 2) What is the equation of the angles measures?

(x + 3) + (__) = __

1 answer

The equation of the angle measures can be represented as:
(x + 3) + (4x - 2) = 90

Simplifying the equation:
5x + 1 = 90

Subtracting 1 from both sides:
5x = 89

Dividing both sides by 5:
x = 17.8

Therefore, the equation of the angle measures is:
(x + 3) + (4x - 2) = 90
(17.8 + 3) + (4(17.8) - 2) = 90
20.8 + 69.2 - 2 = 90
90 = 90

The equation is balanced and the angle measures are correct.