Question

1. find the measure of ∠w

105°
75°
45°
105°

Explanation:

Step1: Identify the shape

The shape is a parallelogram as opposite sides are parallel (indicated by the arrow - heads) and equal (indicated by the tick - marks).

Step2: Recall the property of a parallelogram

In a parallelogram, adjacent angles are supplementary, i.e., the sum of adjacent angles is 180°.

Step3: Calculate the measure of ∠W

∠X and ∠W are adjacent angles. Given ∠X = 105°. Let the measure of ∠W be x. Then x+105° = 180°. Solving for x, we get x=180° - 105° = 75°.

Answer:

75°