Question

Using the diagram above, what is the measure of ∠KPN?

Answer 1

∠KPN = 62°

Explanation:

If you look at ∠KPO, you can see that it equals 90°

Therefore, ∠KPN and ∠NPO add up to 90°

1. Add both expressions

2x + x- 3 = 90

3x - 3 = 90

2. Add 3 to the 90 to isolate variable x

3x = 93

3. Divide both sides by 3

x = 31

4. Plug in the value for x (31) into ∠KPN

2(31) = 62°