Question

ABCD is a trapezium with AB parallel tp DC and |AD|=|AB|.If angle BAD =160°. Find >BDC​

Answer 1

• 10°

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:

• ∠ABD ≅ ∠BDC

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°