By using angles properties (sum of interior angles of a triangle and so) we will see that the measure of angle x is 120°.
How to get the value of angle x?
Let's define C as the angle inside the triangle that is adjacent to angle x.
We can see that these two are supplementary angles, then we know that:
C + x = 180°.
We also can see that C is an interior angle of a triangle, and remember that the sum of all interior angles of a triangle is equal to 180°, then we can write
68° + 52° + C = 180°
With that equation, we can find the value of C.
C = 180° - 52° - 68° = 60°
Then.
x + C = 180°
x + 60° = 180°
x = 180° - 60° = 120°
That is the measure of angle x.
Learn more about supplementary angles.
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