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In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following. %3D m/LMO = %3D m/LMN = %3D

In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following. %3D m/LMO = %3D m/LMN = %3D

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3CR
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In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following. %3D m/LMO = %3D m/LMN = %3D
Transcribed Image Text:In the figure, ray MO bisects ZLMN, MLLMO = (13z- 31)°, and MZNMO = (x + 53)°. Find the following. %3D m/LMO = %3D m/LMN = %3D
Expert Solution
Step 1

We have to find value of x, m<LMO and m<LMN where,

m<LMO=13x-31°m<NMO=x+53°

Given figure is:

Geometry homework question answer, step 1, image 1

Here, MO is bisecting the angle <LMN

therefore,

<LMO=<NMO

Putting values,

<LMO=<NMO13x-31°=x+53°13x-31=x+5313x-x=53+3112x=84x=8412=7

Hence, value of x is 7.

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