PSAT Math Grid-Ins Question 26: Answer and Explanation
Question: 26
In the figure above, lines m and n cross the lines containing segments RT and SU such that angle RSV is congruent to angle TUV. If angle UVT is a right angle, and angle TUV measures 65°, what is the value of x? (Disregard the degree sign when gridding your answer.)
Correct Answer: 25
Explanation:
25
The question asks for the value of x, which is a degree measure on a figure. Use the geometry basic approach. Start by labeling the figure with the given information. Mark that 
RSV is congruent to TUV and that TUV measures 65°. More information is known about triangle VUT, so look for a way to use that to find x. Opposite angles are equal, so the measure of UVT will also be x°. There are 180° in a triangle, so 
is 180 - 90 - 65 = 25°. Therefore, x° also equals 25°. The correct answer is 25.
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