Find the measures of the other three angles and the measures

Find the measures of the other three angles and the measures of the other two sides of the parallelogram to the right. N = 58 degree NB = 3cm NG = 9 cm G = What is the measure of BF? BF = What is the measure of GF? GF =

Solution

Properties Of Parallelogram:

1.Consecutive angles are supplementary (N + G = 180°).

2.Opposite sides are congruent (NG = BF).

So From 1st Property we can get,

N & G are Supplementary So measure of angle G=180-58 =122

And Now From 2nd Property

We get NB=GF and NG = BF

So BF=9cm And GF = 3cm