Question

an angel of a parallelogram is 60 डिग्री more than its adjacent angle find the measure of all the angles ​

Answer 1

Answer:

The angles are 60 degrees, 120 degrees, 60 degrees and 120 degrees resp.

Step-by-step explanation:

By the properties of parallelogram, adjacent angles of a parallelogram are supplementary, i.e. , they always add up to 180 degrees.

Let the unknown angle be x

Then, according to the question, the adjacent angle is [x + 60].

So, by the property,

x + [x + 60] = 180

2x + 60 = 180

2x = 180 - 60

2x = 120

=> x = 60 degrees

Thus, one of the angles have the measure of 60 degrees and its adjacent angle has a measure of : 60 + 60 = 120 degrees [I have marked them as A and B resp. in the figure given below].

Now, another property of parallelogram says, The opposite angles of a parallelogram are equal.

So that means, angle A = angle C

and, angle B = angle D

Therefore,

angle C = 60 degrees

angle D = 120 degrees

I hope you find it helpful :D

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