The figure below shows with 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 ?A. B. C. D.
To find the measure of angle B-U-W, we need to first find the measure of angle B-U-T. Since angle B-U-T is supplementary to angle T-B-U (because they form a straight line), we can calculate its measure as 180 - 35 = 145 degrees.
Similarly, angle B-W-R is supplementary to angle R-B-W, so its measure is 180 - 130 = 50 degrees.
Now, since all the angles around point B add up to 360 degrees, we can find the measure of angle B-U-W as:
360 - (145 + 50 + 90) = 75 degrees
Therefore, the measure of angle B-U-W is 75 degrees. So, the answer is C.
wrong
Apologies for the mistake in my previous response. Let's correct it:
Since angle R-B-S and angle W-B-R form a straight line, their sum is 180 degrees. Therefore, angle R-B-S = 180 - 130 = 50 degrees.
Similarly, angle S-B-U and angle U-B-W form a straight line, so their sum is 180 degrees. Since the measure of angle T-B-U is 35 degrees, the measure of angle S-B-U = 180 - 35 = 145 degrees.
Now, to find the measure of angle B-U-W, we need to consider the angles around point B. The angles around point B add up to 360 degrees.
So,
angle R-B-S + angle S-B-U + angle U-B-W + angle W-B-R = 360
50 + 145 + angle U-B-W + 130 = 360
angle U-B-W = 35 degrees
Therefore, the measure of angle B-U-W is 35 degrees. So, the correct answer is A.
answer options:
A. 85
B. 90
C. 95
D. 110
To find the measure of angle B-U-W, we need to consider the angles around point B. The angles around point B add up to 360 degrees.
We have already found:
angle R-B-S = 50 degrees
angle S-B-U = 145 degrees
angle T-B-U = 35 degrees
angle W-B-R = 130 degrees
Let's calculate angle U-B-W using the above information:
angle R-B-S + angle S-B-U + angle U-B-W + angle W-B-R = 360
50 + 145 + angle U-B-W + 130 = 360
angle U-B-W = 360 - (50 + 145 + 130)
angle U-B-W = 360 - 325
angle U-B-W = 35 degrees
Therefore, the measure of angle B-U-W is 35 degrees. So, the correct answer is not included in the given options.
pick one.
Since the measure given for angle U-B-W is 35 degrees, and none of the answer options match this value, the correct answer is not among the options provided. The correct measure for angle B-U-W is 35 degrees.
JUST PICK ONE
If we have to choose the closest option among the given choices even though none of them match the correct answer of 35 degrees, the closest option would be:
A. 85
This is the closest option to the correct answer of 35 degrees.