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
Related questions
Question
find the missing

Transcribed Image Text:**Directions:** Find all missing angles.
1. Triangle with angles 76°, 59°, and angle 1.
- \( m \angle 1 = \_\_\_ \)
2. Triangle with angles 62°, 67°, and angle 1.
- \( m \angle 1 = \_\_\_ \)
3. Triangle with angles 152°, 115°, and angle 1.
- \( m \angle 1 = \_\_\_ \)
4. Non-traditional triangle with angles 50°, 42°, 25°, and angles 1, 2, and 3.
- \( m \angle 1 = \_\_\_ \)
- \( m \angle 2 = \_\_\_ \)
- \( m \angle 3 = \_\_\_ \)
5. Non-traditional triangle with angles 118°, 73°, 49°, and angles 1, 2, and 3.
- \( m \angle 1 = \_\_\_ \)
- \( m \angle 2 = \_\_\_ \)
- \( m \angle 3 = \_\_\_ \)
6. Configuration with angles 1, 2, 3, 4, 5, and 52°, 47°.
- \( m \angle 1 = \_\_\_ \)
- \( m \angle 2 = \_\_\_ \)
- \( m \angle 3 = \_\_\_ \)
- \( m \angle 4 = \_\_\_ \)
- \( m \angle 5 = \_\_\_ \)
7. Non-traditional quadrilateral with angles 36°, 95°, 44°, and angles 1, 2, 3, 4, 5, 6, and 7.
- \( m \angle 1 = \_\_\_ \)
- \( m \angle 2 = \_\_\_ \)
- \( m \angle 3 = \_\_\_ \)
- \( m \angle 4 = \_\_\_ \)
- \( m \angle 5 = \_\_\_ \)
- \( m \angle 6 = \_\_\_ \)
- \( m \angle 7 = \_\_\_ \)
**

Transcribed Image Text:### Educational Worksheet Transcription
#### Problem 12
**Task:** Find the values of \( x \) and \( y \) in the diagram below.
_Diagram Explanation:_
The diagram shows a geometric shape with the following labeled angles and expressions:
- Top left angle: \((y - 18)^\circ\)
- Bottom left angle: \((x + 14)^\circ\)
- Internal angle formed between the two sections: \((6x - 11)^\circ\)
- Rightmost angle in the shape: \((x + 5)^\circ\)
- Additional specified angle: \(81^\circ\)
#### Problem 13
In \(\triangle MNP\), if
- \(m\angle M = 4x - 3\),
- \(m\angle N = 9x - 6\), and
- \(m\angle P = 6x - 1\),
find \(x\) and the measure of each angle.
- \(x =\)
- \(m\angle M =\)
- \(m\angle N =\)
- \(m\angle P =\)
#### Problem 14
In \(\triangle RST\), if
- \(m\angle R\) is five more than twice \(x\),
- \(m\angle S\) is one more than \(x\), and
- \(m\angle T\) is sixteen less than seven times \(x\),
find \(x\) and the measure of each angle.
- \(x =\)
- \(m\angle R =\)
- \(m\angle S =\)
- \(m\angle T =\)
#### Problem 15
In \(\triangle ABC\), if
- \(m\angle A\) is thirteen less than \(m\angle C\) and
- \(m\angle B\) is eleven less than four times \(m\angle C\),
find the measure of each angle.
- \(m\angle A =\)
- \(m\angle B =\)
- \(m\angle C =\)
#### Problem 16
In \(\triangle JKL\), if
- \(m\angle K\) is nine more than \(m\angle J\) and
- \(m\angle L\) is 21 less than twice \(
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