Question
The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°The figure below shows
−−→
B
T
with point B at the intersection of
←−→
S
W
and
←→
R
U
.
The lines R-U and S-W intersect at B, angle B-T-U is 35 degrees and angle U-B-W is 50 degrees.
What is the measure of
∠
S
B
T
?
A.
85
°
B.
90
°
C.
110
°
D.
95
°
Answers
GPT-4o mini
To find the measure of \(\angle SBT\), we start by analyzing the given angles:
1. \(\angle BTU = 35^\circ\)
2. \(\angle UBW = 50^\circ\)
Since angle \(UBW\) and angle \(BTU\) are angles on a straight line (as they are formed by the intersection of lines \(RU\) and \(SW\)), we can determine \(\angle SBU\):
\[
\angle SBU = 180^\circ - \angle BTU - \angle UBW
\]
\[
\angle SBU = 180^\circ - 35^\circ - 50^\circ
\]
\[
\angle SBU = 180^\circ - 85^\circ = 95^\circ
\]
Now we have found that:
\[
\angle SBU = 95^\circ
\]
Next, since \(BS\) and \(BW\) are on opposite sides of segment \(BT\), \(\angle SBT\) is the same as \(\angle SBU\):
Thus, the measure of \(\angle SBT\) is:
\[
\angle SBT = 95^\circ
\]
Therefore, the answer is:
**D. 95°**
1. \(\angle BTU = 35^\circ\)
2. \(\angle UBW = 50^\circ\)
Since angle \(UBW\) and angle \(BTU\) are angles on a straight line (as they are formed by the intersection of lines \(RU\) and \(SW\)), we can determine \(\angle SBU\):
\[
\angle SBU = 180^\circ - \angle BTU - \angle UBW
\]
\[
\angle SBU = 180^\circ - 35^\circ - 50^\circ
\]
\[
\angle SBU = 180^\circ - 85^\circ = 95^\circ
\]
Now we have found that:
\[
\angle SBU = 95^\circ
\]
Next, since \(BS\) and \(BW\) are on opposite sides of segment \(BT\), \(\angle SBT\) is the same as \(\angle SBU\):
Thus, the measure of \(\angle SBT\) is:
\[
\angle SBT = 95^\circ
\]
Therefore, the answer is:
**D. 95°**