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

The measures of the two angles are 56 and 34 degrees

The sum of complementary angles is 90degrees

Given the measurement:

Taking the sum and equating to 90 degrees

5x + 6 + 3x + 4 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 10

∠GHI = 5(10) + 6

∠GHI = 56 degrees

∠JKL = 90 - 56

∠JKL = 34degrees

Hence the measures of the two angles are 56 and 34 degrees

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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:

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

y + 11 = (1/4)(x + 16)

step-by-step explanation: