ANSWER:
x = 60°
STEP-BY-STEP EXPLANATION:
Let's first establish that the angle sum of a triangle is equivalent to 180°.
Angle sum of triangle = 180°
As well as this, the angle where the blue ( x ) is added on the diagram is equivalent to ( x ) as they are vertically opposite angles. Verically opposite angles are equivalent to each other.
From this, we can establish the following:
( x ) + ( 50 ) + ( x + 10 ) = 180°
Now we will solve this equation to obtain the value of ( x ).
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120 / 2
x = 60°
