Answer:
[tex]x=61^{\circ}[/tex]
Step-by-step 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:
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
Upon substituting our given values in above equation, we will get:
[tex]x+67^{\circ}+52^{\circ}=180^{\circ}[/tex]
[tex]x+119^{\circ}=180^{\circ}[/tex]
[tex]x+119^{\circ}-119^{\circ}=180^{\circ}-119^{\circ}[/tex]
[tex]x=61^{\circ}[/tex]
Therefore, the value of x is 61 degrees.
