△JRW

Question

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=47°
m angle upper R equals 47 degrees

m∠R=62°
m angle upper R equals 62 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°.

We have:

• Measure of angle J = 47°
• Measure of angle W = 15°

Let's denote the measure of angle R as \( m∠R \).

Using the triangle angle sum property:

\[ m∠J + m∠W + m∠R = 180° \]

Substituting the known values:

\[ 47° + 15° + m∠R = 180° \]

Combining the angles:

\[ 62° + m∠R = 180° \]

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°