Question

What is the value of x of angle A if angle B is 67 degrees and angle C is 52 degrees?

Answer 1

x=61

Explanation:

In a triangle all measure add up to 180 degrees, therefore

52+67=119

180-119=61

This means we have 61 degrees remaining to complete the triangle

Answer 2

`x=61^(\circ)`

Explanation:

We have been that B is 67 degrees and angle C is 52 degrees. We are asked to find the value of x of angle A.

We will use angle sum property to solve our given problem.

Angle sum property of triangle states that sum of all angles of a triangle is equal to 180 degrees.

Using angle sum property, we can set an equation as:

`\angle A+\angle B+\angle C=180^(\circ)`

Upon substituting our given values in above equation, we will get:

`x+67^(\circ)+52^(\circ)=180^(\circ)`

`x+119^(\circ)=180^(\circ)`

`x+119^(\circ)-119^(\circ)=180^(\circ)-119^(\circ)`

`x=61^(\circ)`

Therefore, the value of x is 61 degrees.