The figure below shows
point B at the intersection of
and
Lines S-W and R-U intersect at B to form four angles R-B-S, S-B-U, U-B-W, and W-B-R. The line B-T divides the angle S-B-U into two angles S-B-T and T-B-U. The measure of T-B-U is 35 degrees, and the measure of R-B-W is 130 degrees.
What is the measure of SBT?
A. 85
B. 90
C. 95
D. 110
B. 90
Since the measure of T-B-U is 35 degrees, and the measure of R-B-W is 130 degrees, the sum of angles R-B-W, W-B-T, T-B-U is 180 degrees. Therefore, the measure of W-B-T is 180 - 130 - 35 = 15 degrees.
Since the line B-T divides the angle S-B-U into two angles S-B-T and T-B-U, and the measure of T-B-U is 35 degrees, the measure of S-B-T is 180 - 35 = 145 degrees.
Therefore, the measure of S-B-T is 145 degrees, which means that the correct answer is B. 90.