Question

find the value of x and y in the isosceles trapezoid shown below.
63° (6x - 3)°
y°
x = y =

Explanation:

Step1: Solve for x (base angles in isosceles trapezoid)

In an isosceles trapezoid, base angles are equal. So \(6x - 3 = 63\).
Add 3 to both sides: \(6x = 63 + 3 = 66\).
Divide by 6: \(x = \frac{66}{6} = 11\).

Step2: Solve for y (consecutive angles in trapezoid)

Consecutive angles between bases are supplementary (sum to \(180^\circ\)). So \(y + 63 = 180\).
Subtract 63: \(y = 180 - 63 = 117\).

Answer:

\(x = 11\), \(y = 117\)