Question

What is mAngleVSR? 2 lines intersect. A horizontal line has points R, S, U and intersects a line with points V, S, T at point S. Angle V S U is 100 degrees.

Answer 1

the answer is 80

Explanation:

Answer 2

80°

Explanation:

Plot two lines: line passing through the points R, S and U and line passing through three points V, S and T (see attached diagram).

These line intersect at point S and form four angles: RSV, VSU, UST and TSR.

Angles VSU and RST are vertical angles, angles RSV and UST are vertical angles. Vertical angles are congruent, so

m∠VSU = m∠RST = 100°

m∠RSV = m∠UST

Angles RSV and VSU are supplementary angles (add up to 180°). Som

m∠RSV = 180° - m∠VSU =180° - 100° = 80°

Angle RSV is angle VSR (we can read from the right to the left or from the left to the right angle's name)