Question

Find the measure of angle 7 and angle 5.

Answer 1

Angle 5 is 61
Angle 6 is 29
Angle 7 is 29
Angle 8 is 61
Everything is giving us 180

Answer 2

Angle 5: 61; Angle 7: 29

Explanation:

Since Angle 6 is 29 degrees and is a complementary angle with Angle 5, we can subtract Angle 6 from 90, the total degrees in a complementary angle:

90 - 29 = 61 degrees (Angle 5)

Now that we have Angle 5's measure, it also says that Angle 5 is equivalent to Angle 8, meaning that Angle 8 is also 61 degrees.

We can do the same thing from earlier since we have Angle 8's measure and since it is a complementary angle with Angle 7, we can subtract Angle 8 from 90, the total degrees in a complementary angle:

90- 61 = 29 degrees (Angle 7)

Thus, Angle 7 is 29 degrees and Angle 5 is 61 degrees.

Hope this helped! :D