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In parallelogram ABCD, angle a is 24 degrees What are the measures of angles B, C, and D?

User MatthieuW
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1 Answer

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The sum of the angles in a parallelogram is 360°.

a+b+c+d=360°

The opposite angles in the parallelogram are congruent.

a=c

b=d

So if a=24°... and we know a=c, then c=24°.

a=24

c=24

b=?

d=?

a+b+c+d=360°

plug in the data we know

24+b+24+d=360

48+b+d=360

b+d=312

If b+d=312, and we know that they are congruent, then to find their values just divide 312 by 2

312/2=156°

b=156°

d=156°

The sum of the angles in a parallelogram is 360°. - 1

User Akhil M
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