Question

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

Answer 1

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