Question

If m∠WXZ = 58°, then x =

A) x = 58°
B) x = 112°
C) x = 26°
D) x = 32°
E) None of the above.

Answer 1

To find the value of x, we can use the properties of angles in a triangle. The sum of the angles in a triangle is always 180 degrees. By setting up an equation and solving for x, we find that x = 32°.

Step-by-step explanation:

To find the value of x, we need to use the properties of angles in a triangle.

The sum of the angles in a triangle is always 180 degrees.

Given that m∠WXZ = 58°, we can write the equation: m∠WXZ + m∠XZW + m∠XWZ = 180°

Substituting the value we know, 58°, we have: 58° + x + 90° = 180°

Simplifying the equation, we have: x + 148° = 180°

Subtracting 148° from both sides gives us the value of x: x = 180° - 148° = 32°

Therefore, x = 32°. So the correct answer is D) x = 32°.