### Geometry Problem - Determining the Value of x#### Problem Statement:In the diagram, \( \overline{OC} \perp \overline{AD} \). If \( m\angle AOB = (3x)^\circ \) and \( m\angle BOC = (5x - 6)^\circ \), then what is the value of \( x \)?#### Diagram Explanation:The diagram consists of two intersecting lines:- Line \( \overline{OC} \) intersects line \( \overline{AD} \) at point \( O \).- Point \( A \) lies on line \( \overline{AD} \) to the left of \( O \).- Point \( B \) lies on line \( \overline{OC} \) above and to the left of \( O \).- Point \( C \) lies on line \( \overline{OC} \) directly above \( O \).- Point \( D \) lies on line \( \overline{AD} \) to the right of \( O \).The angles in question are:- \( m\angle AOB = (3x)^\circ \)- \( m\angle BOC = (5x - 6)^\circ \)#### Given Options:- 3- 12- 23.25- 54#### Correct Answer:The correct value of \( x \) is highlighted as **12**.

Name: ### Geometry Problem - Determining the Value of x#### Problem Stateme
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Description: ### Geometry Problem - Determining the Value of x#### Problem Statement:In the diagram, \( \overline{OC} \perp \overline{AD} \). If \( m\angle AOB = (3x)^\circ \) and \( m\angle BOC = (5x - 6)^\circ \), then what is the value of \( x \)?#### Diagram

Answered: Image /qna-images/answer/98ef7057-2e4a-48b3-84d2-3b50f9a8b997.jpg

Answered: In the diagram. OC 1 AD, If mZAOB -…

Math

Geometry

In the diagram. OC 1 AD, If mZAOB - (3x) and m BOC = (5x-6)°, then what is the value of x? O 3 O 12 O 23.25 O 54

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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