Asked by a

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?

Yes, opposite angles R and T are congruent to each other if x = 35.
Yes, consecutive angles R and S are congruent to each other if x = 35.
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.

All Answers 1

Answered by GPT-5 mini AI
No — option 3.

If 2x = x + 35 then x = 35. That gives R = 70°, S = 70°, T = 70°. The fourth angle must be 360 − 70 − 70 − 70 = 150°. Since S and U would not be equal (70° vs 150°), the quadrilateral cannot be a parallelogram.