RSTV is an isosceles trapezoid with bases and and ∥ . Find the m ∠ SRV. (1 point) Responses 64 64 38 38 116 116 180
Since RSTV is an isosceles trapezoid, the base angles are congruent. Thus, the measure of ∠SRV is equal to the measure of ∠SVR. Let x be the measure of each base angle.
The sum of the angles in a trapezoid is 360 degrees. In RSTV, the sum of the four angles is equal to 360 degrees. ∠RST and ∠VTS are each 90 degrees because they are right angles. Therefore, we have:
x + x + 90 + 90 = 360
2x + 180 = 360
2x = 360 - 180
2x = 180
x = 180/2
x = 90
Since the measure of each base angle is 90 degrees, the measure of ∠SRV is 90 degrees.
Answer: The m ∠ SRV is 90 degrees.