Question

1. find the measure of ∠z. 105° x w y z 75° 45° 105°

Explanation:

Step1: Identify the shape

The figure is a parallelogram (parallel - side indicators are given).

Step2: Recall property of parallelogram

In a parallelogram, consecutive angles are supplementary (sum to 180°). ∠X and ∠Z are consecutive angles.

Step3: Calculate ∠Z

Let ∠Z = x. We know that ∠X=105°. Since ∠X + ∠Z=180°, then x = 180° - 105° = 75°.

Answer:

75°