Question

Find the value of x in the diagrams below

Answer 1

1. 24

2. 31

Explanation:

1. opposite angles are equal

( 3x-1)°=71°

3x=72

x=24

2. remember opposite angles are equal,

180°= (2x)°+(4x-6)°

186=6x

x=31

Answer 2

1. x = 24

2. x = 31

Explanation:

For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.

For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.