To find the measure of ∠SRV, we need to consider the fact that RSTV is an isosceles trapezoid. In an isosceles trapezoid, the base angles (the angles formed by the bases and the legs) are congruent.
Since MN || RV, we can consider the angles formed by the transversal MN and the bases RV and ST to be corresponding angles. Therefore, the angle formed by MN and ST is also congruent to ∠SRV.
Let's call the measure of ∠SRV as x. Since the sum of the angles in a triangle is 180°, we can set up an equation:
x + 120 + 120 = 180
Simplifying the equation, we get:
2x + 240 = 180
2x = 180 - 240
2x = -60
x = -30
Since angles cannot have negative measures, we can conclude that ∠SRV = 120°.
Therefore, the correct answer is 120°.
RSTV is an isosceles trapezoid with bases RV and ST and MN || RV. Find the m∠SRV.
n= 120
• 180°
120°
• 64°
• 60°
1 answer
10 answers