Question

The sum of the opposite angles of parallelogram is 150°. Find the remaining angles​

Answer 1

Answer:

→opposite amge = 150°

→each angle = 150/2=75°

→sum of all angles =360°

→remainig oposit angle sum angle =360-150=210°

→each angle = 210/2=105°

→so the angles are = 105°,105°,75°,75°

Answer 2

Step by step explanation:

Let the parallelogram be named ABCD

In a parallelogram opposite angles are equal, so...

<A + <C = 150°

As <A and <C are equal let them be the same...

<A + <A = 150°

2<A = 150°

2 goes to the other side...

<A = 150/2 = 70°

Therefore, <A = <C = 70°

And also in a parallelogram, adjoining angles form 180° (supplementary)

So...

<A + <B = 180°

<A is already proven to be 70°...

70° + <B = 180°

70 goes to the other side

<B = 180 – 70 = 110°

As opposite angles of parallelogram are equal,

<B = <D = 110°

Hope This Helps You...