Answer:
x = 60
Step-by-step explanation:
Remark
The two angles that are equal are remote interior angles. They add to 120
Step one
y + y = 120 Combine
2y = 120 Divide by 2
y = 120/2
y = 60
Step Two
Find the angle vertically opposite to the 60 degree angle near the center on the left hand triangle.
The vertically opposite angle is 60. If you know one vertically opposite angle, you know the other one.
Step Three
State the value of the angle that is vertically opposite x.
The angles value is 60o. You are working with an isosceles triangle according to the markings on the triangle.
Step Four
State the value of x
The value of x = 60 degrees. It is equal to the angle described in step three.
