Answered: The three angles in a triangle are in…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.4: Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem

Problem 3.74TI: One angle of a right triangle measures 45°. What is the measure of the other small angle?

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Question

The three angles in a triangle are in the ratio of 2:3:4. Find the measure of each angle.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution

Step 1

Given The three angles in a triangle are in the ratio of 2:3:4.

Step 2

Let x be the multiplier, and the sum of interior angle in a triangle is 180 degree, so

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