Question

m∠WYX=(4x−8)° and m∠WYZ=10x°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle? HELP PLEASE!!

Answer 1

The answers would be:

WYX = 20 degrees

WYZ = 70 degrees

Answer 2

The measure of ∠WYX is 20 degrees and the measure of ∠WYZ is 70 degrees.

Step-by-step explanation:

Given that ∠WYX and ∠WYZ are complementary, we know that their sum is equal to 90 degrees. Therefore, we can set up the equation:

(4x - 8) + 10x = 90

Combine like terms:

14x - 8 = 90

Add 8 to both sides:

14x = 98

Divide both sides by 14:

x = 7

Now substitute the value of x back into the expressions for the angles to find their measures:

∠WYX = (4x - 8) = (4 * 7 - 8) = 20 degrees

∠WYZ = 10x = 10 * 7 = 70 degrees

Therefore, the measure of ∠WYX is 20 degrees and the measure of ∠WYZ is 70 degrees.

Learn more about Complementary angles