What is the Angle Measurement of Angle JKL? * (2x + 5) (3x-6) 本 M O 1 54 90 27

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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### Geometry Quiz Question

**Question:** What is the Angle Measurement of Angle JKL?

**Diagram Explanation:**
- The given diagram represents an isosceles triangle JKL with vertex K at the top.
- Side JK is equal to side KL as denoted by the congruence marks (two small lines) on each side.
- A line KM is drawn from vertex K perpendicular to the base JL, effectively dividing the triangle into two congruent right triangles.

**Angle Expressions:**
- The angle at vertex K is split into two angles:
  - The left angle is labeled as (2x + 5)°.
  - The right angle is labeled as (3x - 6)°.

**Answer Choices:**
- A) 11
- B) 27
- C) 54
- D) 90
Transcribed Image Text:### Geometry Quiz Question **Question:** What is the Angle Measurement of Angle JKL? **Diagram Explanation:** - The given diagram represents an isosceles triangle JKL with vertex K at the top. - Side JK is equal to side KL as denoted by the congruence marks (two small lines) on each side. - A line KM is drawn from vertex K perpendicular to the base JL, effectively dividing the triangle into two congruent right triangles. **Angle Expressions:** - The angle at vertex K is split into two angles: - The left angle is labeled as (2x + 5)°. - The right angle is labeled as (3x - 6)°. **Answer Choices:** - A) 11 - B) 27 - C) 54 - D) 90
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