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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°