A figure displays two adjacent complementary angles with measures%C2%A0 (x+3) ° and (4x−2)° . What is the equation of the angles measures?

Answer 1

Complementary angles add up to 90 degrees.

So the equation would be:

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

Simplifying the equation gives:

5x + 1 = 90

Subtracting 1 from both sides gives:

5x = 89

Finally, dividing by 5 gives:

x = 17.8

Therefore, the two angles are:

(x + 3) = 17.8 + 3 = 20.8 degrees

(4x - 2) = 4(17.8) - 2 = 71.2 degrees