Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

In parallelogram ABCD, m∠ABD = 83°, m∠BDA = 34°, and m∠BCD =
°.

Answer 1

63 degrees.

Explanation:

plato

Answer 2

m∠BCD=63°

Explanation:

we know that

In a parallelogram the opposite angles are congruent

so

m∠BCD=m∠BAD

Remember that the sum of the internal angles of triangle must be equal to 180 degrees

In the triangle ABD

see the attached figure to better understand the problem

m∠BAD+m∠ABD+m∠BDA=180°

substitute the given values

m∠BAD+83°+34°=180°

m∠BAD+117°=180°

m∠BAD=180°-117°

m∠BAD=63°

Remember that

m∠BCD=m∠BAD

therefore

m∠BCD=63°