Question

In triangle uvw, if m∠wuv = 36°, the measure of ∠uvw is (5h - 66)°, and the measure of ∠awb is (5h - 18)°, what is the measure of ∠uvw?

Answer 1

To find the measure of angle UVW in triangle UVW, use the fact that the sum of the angles in a triangle is 180 degrees. Substitute the given values to solve for angle UVW.

Step-by-step explanation:

To find the measure of angle UVW in triangle UVW, we can use the fact that the sum of the angles in a triangle is 180 degrees. We are given that angle WUV is 36 degrees, so we can substitute that value into the sum of the angles equation to find angle UVW. Let's call angle UVW x:

x + 36 + (5h - 66) = 180

Now we solve for x:

x + 5h - 30 = 180

x = 30 - 5h + 180 = 150 - 5h

So the measure of angle UVW is 150 - 5h degrees.