MP REGULARITY Find the measure of each numbered angle. 36. 37. 2 35° 3 70° 6 8 11 5

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
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**Geometry Homework**

**PROOF**   
Write the specified type of proof.  
34. Flow proof of Corollary 4.1  
35. Paragraph proof of Corollary 4.2  

**REGULARITY**  
Find the measure of each numbered angle.

**36.**  
Diagram: A quadrilateral with angles labeled as follows:  
- Angle 1 (top left corner, external)
- Angle 2 (internal) is 70°
- Angle 3 (bottom left, external) is 35°
- Angle 4 (bottom right, internal)

**37.**  
Diagram: A triangle with angles labeled as follows:  
- Angle 1 (bottom left, internal) is 30°
- Angle 2 (external, bottom right) is 130°
- Angle 3 (top corner, internal)
- Angle 4 (external at the top)
- Angle 5 (internal, middle right)
- Angle 6 (bottom right, internal)
- Angle 7 (internal at the top) is 110°
- Angle 8 (external middle right)

**38. ALGEBRA**  
Classify the triangle shown by its angles. Explain your reasoning.

**39. ALGEBRA**  
The measure of the larger acute angle in a right triangle is two degrees less than three times the measure of the smaller acute angle.

Diagram: A triangle with angles expressed as algebraic expressions:  
- (15x + 1)°  
- (6x + 5)°  
- (4x - 1)°  

**Note:** Determine the value of 'x' and classify the triangle based on the angle measures derived.
Transcribed Image Text:**Geometry Homework** **PROOF** Write the specified type of proof. 34. Flow proof of Corollary 4.1 35. Paragraph proof of Corollary 4.2 **REGULARITY** Find the measure of each numbered angle. **36.** Diagram: A quadrilateral with angles labeled as follows: - Angle 1 (top left corner, external) - Angle 2 (internal) is 70° - Angle 3 (bottom left, external) is 35° - Angle 4 (bottom right, internal) **37.** Diagram: A triangle with angles labeled as follows: - Angle 1 (bottom left, internal) is 30° - Angle 2 (external, bottom right) is 130° - Angle 3 (top corner, internal) - Angle 4 (external at the top) - Angle 5 (internal, middle right) - Angle 6 (bottom right, internal) - Angle 7 (internal at the top) is 110° - Angle 8 (external middle right) **38. ALGEBRA** Classify the triangle shown by its angles. Explain your reasoning. **39. ALGEBRA** The measure of the larger acute angle in a right triangle is two degrees less than three times the measure of the smaller acute angle. Diagram: A triangle with angles expressed as algebraic expressions: - (15x + 1)° - (6x + 5)° - (4x - 1)° **Note:** Determine the value of 'x' and classify the triangle based on the angle measures derived.
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