Question

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Answer 1

x = 16

y = 13.25

Explanation:

Co-interior angles are two angles that lie on the same side of a transversal and inside two parallel lines. They are also known as supplementary angles, because they add up to 180 degrees.

Using this:

We can say that:

7x + 15 + 3x + 5 = 180°

10x + 20 = 180°

Subtract 20 on both sides.

10x + 20 - 20 = 180 - 20

10x = 160

Divide both sides by 10.

`\sf (10x)/(10)=(160)/(10)`

x = 16

Therefore value of x is 16.

We know that:

Corresponding angles are two angles that are in the same relative position at different intersections of two parallel lines and a transversal. They are always equal in measure.

Using this:

We can say that:

4y = 3x + 5

Substituting value of x.

4y = 3 × 16 + 5

4y = 48 + 5

4y = 53

Divide both sides by 4.

`\sf (4y)/(4)=(53)/(4)`

y = 13.25

Therefore, value of y is 13.25.