△JRW

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

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

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

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

m∠R=62°

1 answer

To find the measure of angle \( R \) in triangle \( JRW \), you can use the fact that the sum of the angles in a triangle is always \( 180^\circ \).

Given:

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

We can calculate \( m\angle R \) as follows:

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

Substituting in the values:

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

So the measure of angle \( R \) is \( 118^\circ \).

The correct response is: m∠R=118°