Question

what are the missing angle measures in parallelogram rstu?
o m∠r = 70°, m∠t = 110°, m∠u = 110°
o m∠r = 110°, m∠t = 110°, m∠u = 70°
o m∠r = 110°, m∠t = 70°, m∠u = 110°
o m∠r = 70°, m∠t = 110°, m∠u = 70°

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Find angle R

Since ∠S and ∠R are adjacent angles, and ∠S = 70°, then m∠R=180° - 70° = 110° because adjacent angles in a parallelogram are supplementary.

Step3: Find angle T

∠S and ∠T are opposite angles. Opposite angles in a parallelogram are equal, so m∠T = 70°.

Step4: Find angle U

∠R and ∠U are opposite angles. Opposite angles in a parallelogram are equal, so m∠U = 110°.

Answer:

m∠R = 110°, m∠T = 70°, m∠U = 110°