17. Find the indicated measure. QP is the angle bisector. * Find mzSQR if m2 = 13°. %3D

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### Educational Exercise: Angle Bisectors

**Problem Statement:**
17. Find the indicated measure. QP is the angle bisector.

**Question:**
Find \( m \angle SQR \) if \( m \angle 2 = 13^\circ \).

**Diagram Explanation:**
- The image contains a triangle \( SQR \).
- Point \( P \) is on side \( SR \).
- Line segment \( QP \) is drawn, which bisects \( \angle SQR \) into two angles \( \angle 1 \) and \( \angle 2 \).
- It is given that \( \angle 2 \) is \( 13^\circ \).

**Options:**
- 13 degrees
- 26 degrees
- 23 degrees
- 11 degrees

**Solution Steps:**
1. Since \( QP \) is the angle bisector, it divides \( \angle SQR \) into two equal parts.
2. Given \( \angle 2 = 13^\circ \), \( \angle 1 \) is also \( 13^\circ \).
3. Therefore, \( m \angle SQR = \angle 1 + \angle 2 = 13^\circ + 13^\circ = 26^\circ \).

**Answer:**
- 26 degrees
Transcribed Image Text:### Educational Exercise: Angle Bisectors **Problem Statement:** 17. Find the indicated measure. QP is the angle bisector. **Question:** Find \( m \angle SQR \) if \( m \angle 2 = 13^\circ \). **Diagram Explanation:** - The image contains a triangle \( SQR \). - Point \( P \) is on side \( SR \). - Line segment \( QP \) is drawn, which bisects \( \angle SQR \) into two angles \( \angle 1 \) and \( \angle 2 \). - It is given that \( \angle 2 \) is \( 13^\circ \). **Options:** - 13 degrees - 26 degrees - 23 degrees - 11 degrees **Solution Steps:** 1. Since \( QP \) is the angle bisector, it divides \( \angle SQR \) into two equal parts. 2. Given \( \angle 2 = 13^\circ \), \( \angle 1 \) is also \( 13^\circ \). 3. Therefore, \( m \angle SQR = \angle 1 + \angle 2 = 13^\circ + 13^\circ = 26^\circ \). **Answer:** - 26 degrees
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