Question

Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?

Answer 1

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

$5x + 6 + 3x + 4 = 90$

$8x + 10 = 90$

$8x = 90 - 10$

$8x = 80$

$x = \frac{80}{8}$

$x = 10$

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.