Question

question 1 / 6
the figure above shows quadrilateral wxyz. what is the measure of ∠z?
a 45°
b 120°
c 135°
d 145°

Explanation:

Step1: Recall quadrilateral angle sum

The sum of interior angles in a quadrilateral is \( (4 - 2)\times180^{\circ}=360^{\circ} \).

Step2: Sum known angles

Add the given angles: \( 110^{\circ}+ 60^{\circ}+ 55^{\circ}=225^{\circ} \).

Step3: Calculate ∠Z

Subtract the sum from \( 360^{\circ} \): \( 360^{\circ}-225^{\circ}=135^{\circ} \).

Answer:

C. \( 135^{\circ} \)