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Find the values of x and y in the diagram.

Find the values of x and y in the diagram.-example-1

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Answer:

x = 2, y = 6

Explanation:

Δ WXY is equilateral ( 3 congruent angles ), then the sides are equal

WY = WX , that is

y - 1 = 5 ( add 1 to both sides )

y = 6

Δ WYZ is isosceles ( 2 congruent base angles ) then the legs are congruent

YZ = WY , that is

x + 3 = 5 ( subtract 3 from both sides )

x = 2

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