The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.
What is an angle?
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.
If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.
Then the equation will be
∠WYX + ∠WYZ = 90°
2x - 7 + 3x + 2 = 90
5x - 5 = 90
5x = 90 + 5
5x = 95
x = 95 / 5
x = 19
Then the measure of the angle ∠WYX will be
∠WYX = (2x − 7)°
∠WYX = (2 × 19 − 7)°
∠WYX = (38 − 7)°
∠WYX = 31°
Then the measure of the angle ∠WYZ will be
∠WYZ = (3x + 2)°
∠WYZ = (3 × 19 + 2)°
∠WYZ = (57 + 2)°
∠WYZ = 59°
The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.
More about the angled link is given below.
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