Answer:
Step-by-step explanation:
Given trapezoid ABCD, where:
- AB ║ DC
- AB = AD
- m∠BAD = 160°
- m∠BDC = ?
Since AB and DC are parallel, the diagonal BD is transversal and:
Consider ΔABD
Since its two sides are equal, it is isosceles hence ABD and ADB are equal angles:
- m∠ABD = 1/2(180 - 160) = 1/2(20) = 10°
- m∠BDC = m∠ABD = 10°
