Question 8(Multiple Choice Worth 1 points)

Question

(01.06 MC)

angle WZX with measure of 35 degrees and angle XZY with measure of p degrees

If ray ZX is an angle bisector of ∠WZY, find m∠WZY.

m∠WZY = 15°
m∠WZY = 35°
m∠WZY = 55°
m∠WZY = 70°

Answer 1

To find the measure of angle WZY, we can use the information that ray ZX is the angle bisector of ∠WZY. This means that angle WZY is divided into two equal parts by ray ZX.

Given:

• m∠WZX = 35°
• m∠XZY = p degrees (not specified, but needed for this problem)

Since ray ZX is the angle bisector, we have:

\[ m∠WZX = m∠WZY/2 \]

Therefore, if we know that:

\[ m∠WZY = m∠WZX + m∠XZY \]

We can also write:

\[ m∠WZY = 2 \times m∠WZX = 2 \times 35° = 70° \]

Thus,

m∠WZY = 70°

So the correct answer is:

m∠WZY = 70°.