Question

Find the measure of angle HJI

Answer 1

68 degrees

Explanation:

Angles HJI and JHG are alternate angles, which means that they equal each other. So, we can set them equal:

7x - 16 = 5x + 8

Then, we just solve for x:

7x - 16 = 5x + 8

2x = 24

x = 12

Finally, we plug this value of x into 7x - 16 to find angle HJI:

7x - 16 = 7 * 12 - 16 = 84 - 16 = 68 degrees

Thus, angle HJI is 68 degrees.

Hope this helps!

Answer 2

HJI = 68*

Explanation:

(5x+8)* = (7x-16)* By Alt. Int. Angles Thm.

x = 12

Solve for angle HJI