Question

M and n are parallel, find the value of x and y

Answer 1

x = 20 , y = 34

Explanation:

2x - 6 and x + 14 are vertically opposite angles and are congruent, so

2x - 6 = x + 14 ( subtract x from both sides )

x - 6 = 14 ( add 6 to both sides )

x = 20

Then

2x - 6 = 2(20) - 6 = 40 - 6 = 34

y and 2x - 6 are alternate angles and are congruent , so

y = 34

Answer 2

Explanation:

2x - 6 = x + 14 {Vertically opposite angles are congruent}

2x = x + 14 +6 {Add 6 to both sides}

2x = x + 20

2x -x = 20 {Subtract 'x' from both sides}

x = 20

m // n,

y = x + 14 {corresponding sides are congruent}

y = 20+ 14

y = 34