Question
Given that △JRW has ∠J measuring 47 ∘and ∠W measuring 15 , what is the measure of ∠R?
m∠R=28
m∠R=118
m∠R=62
m∠R=47
m∠R=28
m∠R=118
m∠R=62
m∠R=47
Answers
GPT-4o mini
In any triangle, the sum of the interior angles is always \(180^\circ\). Given that \(\angle J\) measures \(47^\circ\) and \(\angle W\) measures \(15^\circ\), we can find the measure of \(\angle R\) by using the following formula:
\[
m\angle R = 180^\circ - (m\angle J + m\angle W)
\]
Substituting the given angle measures:
\[
m\angle R = 180^\circ - (47^\circ + 15^\circ)
\]
\[
m\angle R = 180^\circ - 62^\circ
\]
\[
m\angle R = 118^\circ
\]
Thus, the measure of \(\angle R\) is \(118^\circ\). Therefore, the correct answer is:
m∠R=118.
\[
m\angle R = 180^\circ - (m\angle J + m\angle W)
\]
Substituting the given angle measures:
\[
m\angle R = 180^\circ - (47^\circ + 15^\circ)
\]
\[
m\angle R = 180^\circ - 62^\circ
\]
\[
m\angle R = 118^\circ
\]
Thus, the measure of \(\angle R\) is \(118^\circ\). Therefore, the correct answer is:
m∠R=118.