Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![The image contains two triangles, △ABC and △PQR, shown side by side.
### Triangle △ABC:
- **Vertices**: A, B, C
- **Sides**:
- Side AB is marked with one tick, indicating it is congruent to RP in △PQR.
- Side AC is marked with three ticks, indicating it is congruent to RQ in △PQR.
- **Angle Measurements**:
- ∠BAC = 50°
- ∠ACB = 60°
### Triangle △PQR:
- **Vertices**: P, Q, R
- **Sides**:
- Side PQ is marked with three ticks, indicating it is congruent to AC in △ABC.
- Side RP is marked with one tick, indicating it is congruent to AB in △ABC.
- **Unknown Angle**: ∠P
The task is to determine the measure of ∠P in degrees, based on the given information about the congruent sides and known angles in triangle △ABC.
### Instruction:
Record your answer in the blocks provided. Be sure to use the correct place value.
```
+/- [ ] [ ] [ ]
```
This setup is designed to guide students in solving for the unknown angle by recognizing similar or congruent triangles and applying geometric principles, such as the sum of angles in a triangle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb18be3da-f955-41eb-8759-48e4f6940b6e%2F541c83cb-9894-4bc9-ae19-0c188a0697d9%2Fr8ehpah.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains two triangles, △ABC and △PQR, shown side by side.
### Triangle △ABC:
- **Vertices**: A, B, C
- **Sides**:
- Side AB is marked with one tick, indicating it is congruent to RP in △PQR.
- Side AC is marked with three ticks, indicating it is congruent to RQ in △PQR.
- **Angle Measurements**:
- ∠BAC = 50°
- ∠ACB = 60°
### Triangle △PQR:
- **Vertices**: P, Q, R
- **Sides**:
- Side PQ is marked with three ticks, indicating it is congruent to AC in △ABC.
- Side RP is marked with one tick, indicating it is congruent to AB in △ABC.
- **Unknown Angle**: ∠P
The task is to determine the measure of ∠P in degrees, based on the given information about the congruent sides and known angles in triangle △ABC.
### Instruction:
Record your answer in the blocks provided. Be sure to use the correct place value.
```
+/- [ ] [ ] [ ]
```
This setup is designed to guide students in solving for the unknown angle by recognizing similar or congruent triangles and applying geometric principles, such as the sum of angles in a triangle.
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