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HELP ME ASAPPPPP FIND THE MEASURE PLS

HELP ME ASAPPPPP FIND THE MEASURE PLS class=

Sagot :

Answer:

D

Step-by-step explanation:

The figure has 4 congruent sides and is a rhombus.

In a rhombus

• opposite angles are congruent (equal )

• consecutive angles are supplementary ( sum to 180° )

∠ X and ∠ V are opposite angles , then

∠ X = ∠ V ( substitute expressions )

25x - 5 = 24x ( subtract 24x from both sides )

x - 5 = 0 ( add 5 to both sides )

x = 5

substitute x = 5 into the expression for ∠ X

∠ X = 25x - 5 = 25(5) - 5 = 125 - 5 = 120°

∠ X and ∠ Y are consecutive angles , then

∠ X + ∠ Y = 180° , that is

120° + ∠ Y = 180° ( subtract 120° from both sides )

∠ Y = 60°

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