RSTU is a parallelogram. If m∠SRV = 48° and m∠SVR = 54°, explain how you can find the measure of ∠TUV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

78°

Step-by-step explanation:

Consider triangle SVR. In this triangle, the sum of the measures of all interior angles is equal to 180°.

Then

RSTU is a parallelogram, then by definition, RS is parallel to TU. Angles VSR and VUT are alternate interior angles when parallel lines RS and TU are intersected by transversal SU. By alternate interior angles theorem,

60%