Question

7 the following shape shows an isosceles trapezoid. find the measure of each angle. 87 x= degrees y= degrees z= degrees

Explanation:

Step1: Use the property of isosceles trapezoid

In an isosceles trapezoid, base - angles are equal. So \(z = 87^{\circ}\).

Step2: Use the property of consecutive angles in a trapezoid

Since the trapezoid has two parallel sides, consecutive angles are supplementary. So \(x+87^{\circ}=180^{\circ}\), then \(x = 180^{\circ}-87^{\circ}=93^{\circ}\).

Step3: Use the property of isosceles trapezoid again

In an isosceles trapezoid, the non - base angles are equal. So \(y=x = 93^{\circ}\).

Answer:

\(x = 93\) degrees, \(y = 93\) degrees, \(z = 87\) degrees