Question

AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y

Answer 1

Answer:

y = 108˚

Step-by-step explanation:

2x + 16 = 3x + -12

16 + 2x = 3x + -12

16 + 2x = -12 + 3x

16 + 2x = -12 + 3x

x = 28˚

28 x 3 = 84

84 - 12 = 72

180 - 72 = 108˚

Answer 2

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + -12

Reorder the terms:

16 + 2x = 3x + -12

Reorder the terms:

16 + 2x = -12 + 3x

Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

16 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x

16 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0

16 + -1x = -12 + 0

16 + -1x = -12

Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = -12 + -16

-1x = -12 + -16

Combine like terms: -12 + -16 = -28

-1x = -28

Divide each side by '-1'.

x = 28

Simplifying

x = 28