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