Question

In a parallelogram ABCD angle B minus angle C is equal to 30° then find all the angles

Answer 1

Step-by-step explanation:

In parallelogram ABCD,

Let ∠A be x. Then, ∠B will be 2x−15o

We know that, in a parallelogram sum of adjacent angles are supplementary.

∴  ∠A+∠B=180o

⇒  x+2x−15o=180o

⇒  3x=195o

⇒  x=65o.

∴  ∠A=65o

⇒  ∠B=2x−15o=2×65o−15o=115o.

We know that, in parallelogram opposite angles are equal. 

∴  ∠A=∠C and ∠B=∠D

∴  ∠C=65o and ∠D=115o.

∴  The measure of all angles of a parallelogram are 65o,115o,65o and 115

Answer 2

Step-by-step explanation:

angle b =30 °

angle c = 30° (opposite angle of parallelogram are equal)

30 plus 30 = 60 °

sum of all angles of parallelogram is 360°

360-60=300

angle a and d = 300/2

=150° (opposite angle of parallelogram are equal)

I hope my answer is helpful