Question

Directions: Drag the correct answers to the boxes. Each answer choice may be used more than one time. In trapezoid ABCD, the measure of ZC is 50º. Complete the diagram to show the measures of the angles A, B, and D. А В. 0 1 1 L C С D . .: 400 :: 500 :: 130° :: 1400

Answer 1

SInce it shown in the figure the angle C and angle D are equal

angle C = Angle D = 50°

The angle A and angle B are also let say x°

so,

Angle A = Angle B = x°

Since sum of all angle in a quadrilateral (trapezium) =360°

Thus,

`\begin{gathered} \angle A\text{ + }\angle B\text{ + }\angle C\text{ + }\angle D=360^(\circ) \\ x\text{ + x + 50 + 50}=360 \\ 2x\text{ + 100 = 360} \\ 2x\text{ = 360-100} \\ 2x\text{ = 260} \\ x=130^(\circ) \\ \text{ So, }\angle A\text{ }=130^(\circ)\text{ and }\angle B\text{ }=130^(\circ) \end{gathered}`