Question

22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

Answer 1

9(331)-123=1

Explanation:

2. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

Answer 2

Based on the diagram shown below, the measure of YXZ is equal to 58°.

In Mathematics, a complementary angle refers to two angles whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical expression:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Note: Let the variable x represent angle WXY (m∠WXY).

Since m∠WXV is 11 more than three times the measure of WXY, the sum of the angles is given by;

139 = x + (11 + 3x)

4x = 128

x = 32°

Now, we can find the measure of YXZ;

m∠YXZ + m∠WXY = 90°

m∠YXZ = 90° - 32°

m∠YXZ = 58°

Complete Question:

In the diagram below, ∠WXZ is a right angle. If m∠WXV is eleven more than three times m∠WXY and m∠ YXV=139°, find m∠YXZ.