PLS HELPP This image depicts a triangle problem commonly found in geometry sections of mathematics education.**Triangle Problem Description:**- The triangle is drawn with one of its sides extended, forming an exterior angle.- The interior angles are marked as follows: - The top angle is labeled as \(x^\circ\). - The bottom-left angle is given as \(80^\circ\).- The exterior angle formed outside the triangle is labeled as \(145^\circ\).**Objective:**- The problem asks to find the value of \(x^\circ\).**Explanation:**The exterior angle theorem in geometry states that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, to find \(x^\circ\), use the formula:\[ x^\circ + 80^\circ = 145^\circ \]Solving for \(x^\circ\), we get:\[ x^\circ = 145^\circ - 80^\circ = 65^\circ \]Thus, the value of \(x^\circ\) is \(65^\circ\).

Answered: to 80° MathBits Find xº. 145⁰

Math

Geometry

to 80° MathBits Find xº. 145⁰

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.1: Triangles

Problem 1C

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