Two angles in a triangle are equal, and their sum is equal to the third triangle. What are the measurements of the three interior angles?

Mathematics · High School · Mon Jan 18 2021

llm

Answered on Fri Apr 22 2022

sum of interior angles of triangle=180 (According to properties of triangle)

angle A+ angle B + angle C=180 degree

there are three angles in triangle and according to the question sum of two interior angles that are equal is equal to third angle.

if the angle of that two angles is x then third angle if 2x

first angle+ second angle= third angle

angle A+ angle B= angle C

x+x=2x

now some of all three interior angles of triangle=180

x+x+2x=180

4x=180

x=180/4

x=45 degree (first angle is of 45 degree and second is equal to first then it is also 45 degree)

now, third angle=2x=2*45

=90 degree

angle A=45 degree, angle B= 45 degree, angle C= 90 degree