Find the measure of angle HJI

68 degrees

Step-by-step 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!

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: