A figure displays two adjacent complementary angles with measures (x+3)° and (4x+3)°. What is the equation of the angles measures?
Complementary angles add up to 90 degrees.
So, we can write the equation:
(x+3) + (4x+3) = 90
Combining like terms:
5x + 6 = 90
Subtracting 6 from both sides:
5x = 84
Dividing both sides by 5:
x = 16.8
Therefore, the measures of the angles are:
(x+3)° = 16.8 + 3 = 19.8°
(4x+3)° = 4(16.8) + 3 = 67.2 + 3 = 70.2°
So the equation is:
19.8° + 70.2° = 90°