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22 votes
22 votes
Don't worry about the x and w, I just need the answer to y. Find the value of y if JKLM~PQRS

Don't worry about the x and w, I just need the answer to y. Find the value of y if-example-1
User Omermuhammed
by
2.5k points

1 Answer

5 votes
5 votes

Answer:

y = 15

Explanation:

JKLM ~ PQRS means that quadrilateral JKLM is similar to quadrilateral PQRS.

In similar shapes the corresponding sides have same ratio and the corresponding angles are congruent.

This means angle J is congruent to angle P, K is congruent to Q, L is congruent to R and M is congruent to S. Order of the vertices matters.

Solving for y.

Angle J is congruent to angle P.

5y - 4 = 71 Add 4 on both sides.

5y = 71 + 4

5y = 75 Divide both sides with 5.

y = 15

(Btw your solution for x is wrong.)

User ForceMagic
by
2.6k points
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