EXERCISE 13 (A)
The measure of one angle of a parallelogram is 80° What are the measures o
the remaining angles ?
adiacent angles of
Answers
Answer:
In a parallelogram,
1) Opposite angles are equal. ---------- (1)
therefore,
angle A=angle C
Now,
2) Adjacent angles of a llgrm. are supplementary.
therefore.
angle C + angle D =180°
80°+ angle D =180°
angle D=100°
from(1)
angle B =angle D =100°
I hope it helps u.
measure of one angle of a
parallelogram is 80°.
opposite angles of a parallelogram are congruent
therefore, angle A=angle C
80°=angle C
angle C= 80
measure of adjacent angles of a parallelogram is 180°
therefore, angle A +angle B = 180°
80° + angle B = 180°
angle B = 180° - 80°
= 100°
angle B = angle D (opposite angles....)
100°=angle D
angle A = 80°
angle B = 100°
angle C = 80°
angle D = 100°