Question

question 4 (1 point)
polygon abcd ≅ polygon pqrs.
find the value of x.
a x = 80
b x = 38
c x = 48
d x = 100

Explanation:

Step1: Use the property of congruent polygons

Since polygon \(ABCD\cong\) polygon \(PQRS\), their corresponding angles are equal. So, \(\angle A=\angle R\).

Step2: Set up the equation

We know that \(\angle A=(2x + 4)^{\circ}\) and \(\angle R = 80^{\circ}\). Then the equation is \(2x+4=80\).

Step3: Solve the equation for \(x\)

Subtract \(4\) from both sides: \(2x=80 - 4\), so \(2x=76\).
Divide both sides by \(2\): \(x=\frac{76}{2}=38\).

Answer:

b \(x = 38\)