Question

the sum of two apposite angles of a parallelogram is 160 degree . find all the angles of the parallelogram​

Answer 1

Answer:

Let ABCD is a parallelogram.

Let ∠A+∠C=160

o

We know that, opposite angles of parallelogram are equal

∴ ∠A+∠A=160

o

⇒ 2∠A=160

o

⇒ ∠A=80

o

⇒ ∠A+∠D=180

o

[ Sum of adjacent angles are 180

o

in parallelogram ]

⇒ 80

o

+∠D=180

o

⇒ ∠D=100

o

∴ ∠D=∠B=100

o

Answer 2

Answer:

80, 80,100, 100

Step-by-step explanation:

(angle A) = (angle C) and (angle B) = (angle D)

opposite angles of a parallelogram are equal.

angle A+angle C= 160°

so, A=C= 80°

further, B+D= 360-160 =200°

thus, B=D= 100°