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2. If mZMKL = 83', MZJKL = 127', and MZJKM = (9x – 10)", find the value of x. M. K

2. If mZMKL = 83', MZJKL = 127', and MZJKM = (9x – 10)", find the value of x. M. K

Elementary Geometry For College Students, 7e
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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# Geometry Basics: Angle Addition Postulate ## Page 32 --- ### Student Information - **Name:** ___________________________ - **Date:** _______________________ - **Per.:** _______ --- ### Instructions Complete the following exercises using the provided diagram. --- ### Diagram The diagram features a series of intersecting lines (BF and AC), creating several angles. Points A, B, C, D, E, and F are marked on the lines, dividing them into segments. *Note: \( \text{BF} \perp \text{AC} \).* --- ### Exercises 1. **Use the diagram to complete each part.** a) **Name the vertex of \( \angle 4 \):** ______________ b) **Name the sides of \( \angle 1 \):** ______________ c) **Write another name for \( \angle 5 \):** ______________ d) **Classify each angle:** \( \angle FBC \): ______________ \( \angle EBF \): ______________ \( \angle ABC \): ______________ e) **Name an angle bisector:** ______________ f) **If \( m\angle EBD = 36^\circ \) and \( m\angle DBC = 108^\circ \), find \( m\angle EBC \):** ______________ g) **If \( m\angle EBF = 117^\circ \), find \( m\angle ABE \):** ______________ 2. **If \( m\angle MKL = 83^\circ \), \( m\angle JKL = 127^\circ \), and \( m\angle JKM = (9x - 10)^\circ \), find the value of \( x \).** *Triangle diagram included with points J, K, L, M.* \( x =\) ______________ 3. **If \( m\angle EFH = (5x + 1)^\circ \), \( m\angle ZHG = 62^\circ \), and \( m\angle EFG = (18x + 11)^\circ \), find each measure.** *Diagram with points E, F, G, H, Z.* \( x =\) ______________ \( m\angle
Transcribed Image Text:# Geometry Basics: Angle Addition Postulate ## Page 32 --- ### Student Information - **Name:** ___________________________ - **Date:** _______________________ - **Per.:** _______ --- ### Instructions Complete the following exercises using the provided diagram. --- ### Diagram The diagram features a series of intersecting lines (BF and AC), creating several angles. Points A, B, C, D, E, and F are marked on the lines, dividing them into segments. *Note: \( \text{BF} \perp \text{AC} \).* --- ### Exercises 1. **Use the diagram to complete each part.** a) **Name the vertex of \( \angle 4 \):** ______________ b) **Name the sides of \( \angle 1 \):** ______________ c) **Write another name for \( \angle 5 \):** ______________ d) **Classify each angle:** \( \angle FBC \): ______________ \( \angle EBF \): ______________ \( \angle ABC \): ______________ e) **Name an angle bisector:** ______________ f) **If \( m\angle EBD = 36^\circ \) and \( m\angle DBC = 108^\circ \), find \( m\angle EBC \):** ______________ g) **If \( m\angle EBF = 117^\circ \), find \( m\angle ABE \):** ______________ 2. **If \( m\angle MKL = 83^\circ \), \( m\angle JKL = 127^\circ \), and \( m\angle JKM = (9x - 10)^\circ \), find the value of \( x \).** *Triangle diagram included with points J, K, L, M.* \( x =\) ______________ 3. **If \( m\angle EFH = (5x + 1)^\circ \), \( m\angle ZHG = 62^\circ \), and \( m\angle EFG = (18x + 11)^\circ \), find each measure.** *Diagram with points E, F, G, H, Z.* \( x =\) ______________ \( m\angle
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