To find the measure of angle TRV, we can use the fact that angles on a straight line add up to 180 degrees.
The angle at R is given as (x minus 10) degrees, and the angle at T is given as (2x + 10) degrees.
Since TRV is an exterior angle to the triangle TRS, we know that the sum of the measures of angles TRV and TRS is equal to (x minus 10) degrees.
Therefore, angle TRV = (x minus 10) degrees - (2x + 10) degrees = -x - 20 degrees.
Since angles cannot be negative, we can ignore the negative sign.
Thus, the measure of angle TRV is x + 20 degrees.
We are not given any specific value for x, so we cannot determine the exact measure of angle TRV. It can vary depending on the value of x.
Therefore, the correct answer is: The measure of angle TRV cannot be determined based on the given information.
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees.
What is the measure of angle TRV?
20°
50°
60°
130°
1 answer