Applying the definition of linear angle pair, the measure of angle TRV is: D. 130°.
Linear Angle Pair
Two angles on a straight line are considered to be linear angles pair.
Linear angle pairs are supplementary angles, meaning they are equal to 180 degrees.
Therefore:
(x - 10) + (2x + 10) = 180
x - 10 + 2x + 10 = 180
Combine like terms
3x = 180
x = 60
m∠TRV = 2x + 10
Plug in the value of x
m∠TRV = 2(60) + 10
m∠TRV = 130°
Therefore, applying the definition of linear angle pair, the measure of angle TRV is: D. 130°.
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