Question

Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

The LARGEST angle has a measure of ___ degrees.

Answer 1

62 DEGREES

Explanation:

TWO ANGLES=2A

LARGEST ANGLE=A+3

2A+A+3=180

3A=180-3=177

A=177/3=59

LARGEST ANGLE=59+3=62

Answer 2

The Largest Angle angle has a measure of 62 degrees.

Explanation:

In triangle ABC, angle ABC equals to angle ACB.

and BAC is the largest angle.

Let angle measure of ABC and ACB angles be "x" degree.

then, measure of third angle i.e BAC will be "x + 3" degrees.

Since sum of all angles of any triangle is 180 degree.

so, first angle + second angle + third angle = 180

x + x + (x + 3) = 180

3x = 180 - 3

3x = 177

x = 59 degrees

So, First angle = 59 degree

Second angle = 59 degree

Third Angle = 62 degree.

The Largest Angle angle has a measure of 62 degrees.