Question
Angles of Similar Triangles Quick Check
5 of 55 of 5 Items
Question
△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=62°
m angle upper R equals 62 degrees
m∠R=118°
m angle upper R equals 118 degrees
m∠R=47°
m angle upper R equals 47 degrees
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Answers
GPT-4o mini
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.
We know:
- m∠J = 47°
- m∠W = 15°
To find m∠R, we can use the formula:
\[ m∠R = 180° - m∠J - m∠W \]
Now plug in the known values:
\[ m∠R = 180° - 47° - 15° \]
\[ m∠R = 180° - 62° \]
\[ m∠R = 118° \]
Therefore, the measure of angle R is:
**m∠R = 118°**
We know:
- m∠J = 47°
- m∠W = 15°
To find m∠R, we can use the formula:
\[ m∠R = 180° - m∠J - m∠W \]
Now plug in the known values:
\[ m∠R = 180° - 47° - 15° \]
\[ m∠R = 180° - 62° \]
\[ m∠R = 118° \]
Therefore, the measure of angle R is:
**m∠R = 118°**