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Find X Find Y and find CL

Find X Find Y and find CL-example-1
User Nick Long
by
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1 Answer

3 votes

Answer:

see explanation

Explanation:

assuming the figure is a rectangle.

the opposite sides of a rectangle are congruent, then

CL = PI , that is

16x - 34 = 6x + 16 ( subtract 6x from both sides )

10x - 34 = 16 ( add 34 to both sides )

10x = 50 ( divide both sides by 10 )

x = 5

the interior angles of a rectangle are each 90° , then

∠ PCL = 17y + 39 = 90 ( subtract 39 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

and

CL = 16x - 34 = 16(5) - 34 = 80 - 34 = 46

User Alex Ivanov
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8.5k points