Question

△JRW
△
J
R
W
has angle J
J
measuring 47°
47
°
and angle W
W
measuring 15°
15
°
. What is the measure of angle R
R
?(1 point)
Responses

m∠R=118°
m
∠
R
=
118
°
m angle upper R equals 118 degrees

m∠R=28°
m
∠
R
=
28
°
m angle upper R equals 28 degrees

m∠R=47°
m
∠
R
=
47
°
m angle upper R equals 47 degrees

m∠R=62°
m
∠
R
=
62
°
m angle upper R equals 62 degrees

Answer 1

In triangle \( \triangle JRW \), the sum of the angles must equal 180 degrees. You have the measures of angle \( J \) and angle \( W \):

- \( m\angle J = 47^\circ \)
- \( m\angle W = 15^\circ \)

To find the measure of angle \( R \) (denoted as \( m\angle R \)), we can use the following formula:

\[
m\angle R = 180^\circ - (m\angle J + m\angle W)
\]

Now, substituting the known angles:

\[
m\angle R = 180^\circ - (47^\circ + 15^\circ)
\]
\[
m\angle R = 180^\circ - 62^\circ
\]
\[
m\angle R = 118^\circ
\]

Thus, the measure of angle \( R \) is:

\[
\boxed{118^\circ}
\]