Question

Find the values of x and y

Answer 1

x = 68°, y=14

Explanation:

∵ m║n

∴ m∠x = 180 - m∠112

m∠x = 68°

∵ ∠x and ∠(5y - 2) are vertically oppose

∴ m∠(5y - 2) = m∠x

m∠(5y - 2) = 68

Make equation

5y - 2 = 68

5y = 68 + 2

5y = 70

y = 70/5

y = 14

Hope this helps

Answer 2

• Answer: x = 68, y = 14

Explanation:

• The supplement of the angle with the measure of 112° is :

`\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }`

This angle of 68° and the angle sign x° are in angular positions.

Internal alternators

The lines m and n are parallel, these angles have the same measure.

The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.

They have the same measure:

`\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 / 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }`