Question
The angle bisector of ∠PQR is QE−→−
. If m∠PQE = 2n°, what is m∠PQR?
A. n°
B. 2n°
C. 4n°
D. 8n°
. If m∠PQE = 2n°, what is m∠PQR?
A. n°
B. 2n°
C. 4n°
D. 8n°
Answers
GPT-4o mini
We are given that \(m∠PQE = 2n°\) and that QE is the angle bisector of \(∠PQR\). This means that \(∠PQE\) and \(∠EQR\) are equal because an angle bisector divides an angle into two equal parts.
Since \(∠PQE\) is \(2n°\), we can denote \(∠EQR\) also as \(2n°\).
Therefore, the measure of the entire angle \(∠PQR\) can be calculated as follows:
\[
m∠PQR = m∠PQE + m∠EQR = 2n° + 2n° = 4n°
\]
Thus, the measure of angle \(∠PQR\) is \(4n°\).
The answer is \( \boxed{C} \).
Since \(∠PQE\) is \(2n°\), we can denote \(∠EQR\) also as \(2n°\).
Therefore, the measure of the entire angle \(∠PQR\) can be calculated as follows:
\[
m∠PQR = m∠PQE + m∠EQR = 2n° + 2n° = 4n°
\]
Thus, the measure of angle \(∠PQR\) is \(4n°\).
The answer is \( \boxed{C} \).