Question

One of the angles of a triangle is equal to the sum of the other two. Find the measure of this angle.

Answer 1

Answer:

Step-by-step explanation:

Given Problem:

One of the angles of a triangle is equal to the sum of the other two. Find the measure of this angle.

Solution:

To Find:

The measure of this angle.

------------

Method:

Let "a" be the measure of the angle A;

Let "b" be the measure of the angle B;

Let "c" be the measure of the angle C.

Then

,

a + b + c = 180,.............. Equation(1)

a + b      = c...............     Equation(2)   (given).

 

Add the equation (1) and (2). You will get

,

2(a+b) + c = 180 + c.

Simplify:

2(a+b) = 180  ---------->  a + b = 180/2= 90°