Question

In parallelogram ABCD, m∠A = 24°. What are the measures of angles B, C, and D? Justify. please help

Answer 1

parallelogram has 2 pairs of angles as well as a sum angle of 360
therefore, another angle is also 24°and the other two are 360-24*2=312. 312/2=156

four angles are 24,24,156,156

Answer 2

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°