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2 years ago

If mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle

Mathematics

1 answer:

Lelu [443]2 years ago

5 0

Hi there! :)

Answer:

$\huge\boxed{x = 4.5}$

m∠BGC = 16x - 4

m∠CGD = 2x + 13

m∠BGC + m∠CGD sums up to 90°, therefore:

(16x - 4) + (2x + 13) = 90

Combine like terms and simplify:

16x + 2x - 4 + 13 = 90

18x - 4 + 13 = 90

18x + 9 = 90

18x = 81

18x/18 = 81/8

x = 4.5

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If mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle​

If mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle