Question

Given QRST is an isosceles trapezoid with properties as shown in the diagram.Find the measures of the missing angles.T6080*QR:: 80:: 100°

Answer 1

for an isosceles trapezoid, the angles on a straight line are equal

so,

Angle R = Angle Q

so since angklw R = 80 degrees,

Angle Q = 80 degrees.

Also recall,

Angle S = Angle T

to find Angle S,

Angle S = (360 - (80 + 80))/2

Angle S = (360 - 160)/2

Angle S = 200/2

Angle S = 100 degrees

since Angle S = Angle T

therefore,

Angle T = 100 degrees