The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°The measure of angle U is unknown. Can quadrilateral RSTU be a parallelogram?A. Yes, opposite angles R and T can be made equal to each other if x = 35.B. Yes, consecutive angles R and S can be made equal to each other if x = 35.C. No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°. D. No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral. The Correct Answer is C. <-------
Accepted Solution
A:
If <R=<T 2x=x+35 x=35 <R=<T=2*35=70
<S=3x-35=3*35-35=2*35=70
but <R+<S+<T+<U=360 <U=360- (70+70+70) <U=360-210 <U=150 Impossible to be a parallelogram C is the answer