Question

In a parallelogram abcd angle a=50 find the remaining angles

Answer 1

Answer:

Step-by-step explanation:

• Opposite angles of a parallelogram are equal.
• The sum of adjacent angles of a parallelogram is 180 degrees

Therefore ,

The angles are,

a = 50 degrees

b = 180 - 50

  = 130 degrees

c = 50 degrees

d = 130 degrees

Answer 2

Given :

$\angle A=50^\circ$

To find : the remaining angles = ?

Solution :

ABCD is a parallelogram .

So,Opposite angles are equal.

So, $\angle A=\angle C=50^\circ$

Now,

We know that

Sum of adjacent angles = 180°

So, it becomes :

$\angle A+\angle B=180^\circ\\\\50^\circ+\angle B=180^\circ\\\\\angle B=180^\circ-50^\circ\\\\\angle B=130^\circ$

And we know that :

$\angle D=\angle B=130^\circ$

Hence, the remaining angles are $130^\circ,50^\circ,130^\circ$.