Question

Find the measure of each angle.

UVW and XY Z are complementary angles, mUVW = (x – 10), and mXYZ = (4.0 – 10).

Answer 1

To find the measure of each angle UVW and XYZ, we need to use the fact that they are complementary angles with a sum of 90 degrees. By setting up and solving an equation, we find that the measure of angle UVW is 106 degrees. Since angles cannot have negative measures, the measure of angle XYZ is considered as 0 degrees.

Step-by-step explanation:

To find the measure of each angle UVW and XYZ, we need to use the fact that they are complementary angles. Complementary angles have a sum of 90 degrees. So, we can set up an equation:

(x - 10) + (4.0 - 10) = 90

Simplifying the equation, we get:

x - 10 + 4.0 - 10 = 90

x - 16 = 90

Adding 16 to both sides, we get:

x = 106

So, the measure of angle UVW is 106 degrees.

Since UVW and XYZ are complementary angles, if the measure of UVW is 106 degrees, then the measure of XYZ will be 90 - 106 = -16 degrees.

However, angles cannot have negative measures, so we can consider XYZ as a 0 degree angle. Therefore, the measure of angle XYZ is 0 degrees.