the opposite angles of a parallelogram are (3x + 5)° and (61 - x)°. find the measure of four angles.
Answers
in parallelogram Opposite angles are congruent.
therefore 3x+5=61-x
4x=56
x =14
then 1st angle is 3x+5 = 3(14)+5=47
2 nd angle is 61-x = 61 -14 = 47
and Adjacent angles are supplementary in parallelogram.
therefore let 3rd angle is p
than 47 +p = 180
p= 133
similarly 4th angle to be q
than 47+q= 180
q = 133
Answer:
in parallelogram Opposite angles are congruent.
therefore 3x+5=61-x
4x=56
x =14
then 1st angle is 3x+5 = 3(14)+5=47
2 nd angle is 61-x = 61 -14 = 47
and Adjacent angles are supplementary in parallelogram.
therefore let 3rd angle is p
than 47 +p = 180
p= 133
similarly 4th angle to be q
than 47+q= 180
q = 133
Step-by-step explanation: