In the figure below line SR is parallel to line TU, while line ST is parallel to line UV. Line OS=OT and angle RST is...

In the figure below line SR is parallel to line TU, while line ST is parallel to line UV. Line OS=OT and angle RST is 42°.

What is the size of angle TOV?

A. 48°
B. 84°
C. 96°
D. 138°

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The correct answer is [C]

-Angle RST = Angle STO = 42⁰
(Alternate angles are equal)
-Since OS = OT, then angle TSO = STO = 42⁰
(Base angles of an isosceles triangle are equal)
42 + 42 + TOV = 180⁰
(Angles in a triangle add up to 180⁰)
84⁰+TOV = 180⁰
TOV = 180-84
= 96⁰

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Wilfykil answered the question on July 29, 2019 at 06:56

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