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°
