Question

RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

Answer 1

Using the alternate angles theorem and the triangle sum theorem, m∠SRV = 48°.

What is the Alternate Angles Theorem?

According to the alternate angles theorem, two angles that lie alternate to each other are congruent.

Given:

• m∠TUV = 78°
• m∠TVU = 54°

m∠VTU = 180 - 54 - 78 [triangle sum theorem]

m∠VTU = 48°

∠VTU ≅ ∠SRV [alternate angles theorem]

m∠SRV = 48°

Learn more abut the alternate angles theorem on:

brainly.com/question/24839702

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