Question

What is the value of X?
A) 20
B) 35
C) 60
D) 70

Answer 1

x = 20

Explanation:

The given angles are vertical and congruent, so

3x = x + 40 ( subtract x from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer 2

x = 20

Explanation:

When two lines intersect they form two pairs of opposite angles which are also known as vertical angles. Vertical angles are always congruent which means that they are equal.

Angle TRS = Angle VRW

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

40/2 = 2x/2

20 = x

(20 + 40) = 3(20)

60 = 60