Question

In the diagram, what is mAngleVSR?

Answer 1

The  mAngleVSR   m Angle VSR  is  mathematically given as

$\theta$= 80°

This is further explained below.

What is mAngleVSR?

Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.

The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore

m∠VSU = m∠RST = 100°

m∠RSV = m∠UST

In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som

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

Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).

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