what is the measure of ∠adc in quadrilateral abcd? 45° 65° 115° 135°
what is the measure of ∠adc in quadrilateral abcd? 45° 65° 115° 135°
Answer
Explanation:
Step1: Recall quadrilateral angle - sum property
The sum of the interior angles of a quadrilateral is 360°.
Step2: Assume the quadrilateral is isosceles trapezoid (from the equal - side markings)
Let's assume (AB\parallel CD) (from the markings). In an isosceles trapezoid, (\angle A+\angle D = 180^{\circ}) (since (AB\parallel CD), they are same - side interior angles).
Step3: Calculate (\angle ADC)
Given (\angle A=115^{\circ}), then (\angle ADC = 180^{\circ}-\angle A). (\angle ADC=180 - 115=65^{\circ})
Answer:
B. 65°