Question

Find measure angle GJK (5x + 8) (7x - 16)

Answer 1

Hi there!

`\large\boxed{22^o}`

Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.

Using the Alternate Interior Angle theorem:

m∠HJI = m∠JHG, so:

7x - 16 = 5x + 8

Solve for x:

2x - 16 = 8

2x = 24

x = 12

Substitute in this value of x to solve for m∠HJI:

7(12) - 16 = 84 - 16 = 68°

Thus:

m∠GJH = 90 - 68° = 22°