Question

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

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

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

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

m∠R=118°

Answer 1

To find the measure of angle R in triangle JRW, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given:
- m∠J = 47°
- m∠W = 15°

We can set up the equation:

\[ m∠J + m∠W + m∠R = 180° \]

Substituting the values we know:

\[ 47° + 15° + m∠R = 180° \]

Adding the measures of angles J and W:

\[ 62° + m∠R = 180° \]

Now, subtract 62° from both sides to find m∠R:

\[ m∠R = 180° - 62° = 118° \]

Therefore, the measure of angle R is:

\[ m∠R = 118° \]

The correct response is:

**m∠R = 118°**.