Question

I’m really confused on this.. help!!

Answer 1

x = 108°

y = 22.2°

Step-by-step explanation:

Angles on a straight line sum to 180°.

`\implies 72^(\circ) + x = 180^(\circ)`

`\implies 72^(\circ) + x - 72^(\circ) = 180^(\circ) - 72^(\circ)`

`\implies x = 108^(\circ)`

Corresponding Angles Theorem

When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.

Assuming the two lines that appear parallel in the given diagram are parallel:

`\implies (5y - 3)^(\circ) = x^(\circ)`

`\implies 5y - 3 = 108`

`\implies 5y - 3 + 3 = 108 + 3`

`\implies 5y = 111`

`\implies 5y / 5 = 111 / 5`

`\implies y = 22.2^(\circ)`

Answer 2

Answers:

x = 108

y = 111/5 = 22.2

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Step-by-step explanation:

The angles 72 and x form a 180 degree straight line.

72+x = 180

x = 180-72

x = 108

Angles x and 5y-3 are congruent corresponding angles assuming the lines pointing to the northwest are parallel

5y - 3 = x

5y - 3 = 108

5y = 108+3

5y = 111

y = 111/5

y = 22.2