Answer:
65
Step-by-step explanation:
First you need to solve for angle Z. Angle Z and the angle that equals 128° are supplementary angles meaning they add up to 180°. To find angle Z, you subtract 128° from 180°.
Angle Z = 180 - 128 = 52
Next, you need to find angle Y. You already know two angles within the triangle, one is 52° and the other is 63°. To find angle Y, you add the two known angles and subtract from 180° since the sum of the interior angles in a triangle always equal 180°.
Angle Y = 180 - (52 + 63) = 65
Lastly, since Angle Y and Angle X are vertical angles, they both have the same angle measure.
Angle X = 65
