Question

15. In the given figure, ABCD is a
parallelogram. If A = 50° and CBD = 70°,
find ABD and BDC.
​

Answer 1

In quadrilateral ABCD,

Given=<A=50°,<CBD=70°

<A+<ABD+<CBD=180°(sum of adjacent angles of a parallelogram is 180°)

=>50°+<ABD+70°=180°

=>120°+<ABD=180°

=><ABD =180°-120°

=><ABD=60°

<ABD=<BDC(alternate interior angles)

so,<BDC=60°

hope it will help you.

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