K L (4x+1)% do(7x-4)°) 42° M a) x= b) mJM = c) mJL=

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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Please help with question 2
**Mathematics Geometry Exercise**

**Date: 11-10**

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**1. Using the diagram below, find each measure.**

The diagram is a circle with points labeled B, A, C, D, and E, with angles marked at the center.

- a) \( m\overarc{BA} = 124^\circ \)
- b) \( m\overarc{CE} = 124^\circ \)
- c) \( m\overarc{ACE} = 180^\circ \)

---

**2. Using the diagram below, find each measure.**

The diagram is a circle with points labeled K, J, L, and M. There are expressions \( (4x + 1)^\circ \), \( (7x - 4)^\circ \), and \( 42^\circ \) indicated on the circle’s interior angles.

- a) \( x = \underline{\hspace{2cm}} \)
- b) \( m\overarc{JM} = \underline{\hspace{2cm}} \)
- c) \( m\overarc{JL} = \underline{\hspace{2cm}} \)

---

These exercises involve understanding circle theorems and calculating angles related to arcs.
Transcribed Image Text:**Mathematics Geometry Exercise** **Date: 11-10** --- **1. Using the diagram below, find each measure.** The diagram is a circle with points labeled B, A, C, D, and E, with angles marked at the center. - a) \( m\overarc{BA} = 124^\circ \) - b) \( m\overarc{CE} = 124^\circ \) - c) \( m\overarc{ACE} = 180^\circ \) --- **2. Using the diagram below, find each measure.** The diagram is a circle with points labeled K, J, L, and M. There are expressions \( (4x + 1)^\circ \), \( (7x - 4)^\circ \), and \( 42^\circ \) indicated on the circle’s interior angles. - a) \( x = \underline{\hspace{2cm}} \) - b) \( m\overarc{JM} = \underline{\hspace{2cm}} \) - c) \( m\overarc{JL} = \underline{\hspace{2cm}} \) --- These exercises involve understanding circle theorems and calculating angles related to arcs.
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