Answer:
C) x = 50°
Step-by-step explanation:
In this figure, you can find x by first finding the three angles of the triangle and then applying the Vertical Angle Theorem. First, you need to find the angle in the top right. You can do this by subtracting 95 from 180 since 95 and the missing angle are supplementary:
180 - 95 = 85°
Now, you know two of the angles in the triangle: 85° and 45°. The angles of a triangle add up to 180°; you can use this knowledge to find the triangle's third angle:
85 + 45 + t = 180 (where t is third angle)
130 + t = 180
t = 50°
Now that you know the measure of the third angle, you can apply the Vertical Angles Theorem to find x. The Vertical Angles Theorem states that if two lines intersect, the vertical angles are equal. x is the vertical angle pair for the 50° angle, and therefore x must equal 50°.
