Question

one angle of a pentagon is 124 degrees the others are equal to each other find them​

Answer 1

Answer:

The remaining angles will equal to 79.

Step-by-step explanation:

We know that total angle of a pentagon = 540;

And there are total 5 angles in a pentagon.

Given that;

One angle of that pentagon = 124;

Now, remaining angles are equal;

Hence , the required equation will be;

                             ∠1 + ∠2 + ∠3 + ∠4 + ∠5 = 540

Since all angles are equal, hence;

                            ∠1 + ∠1 + ∠1 + ∠1 + ∠1 = 540;

Now put the given angle in it;

                            124 +∠1 + ∠1 + ∠1 + ∠1 =540;

                              ∠1 + ∠1 + ∠1 + ∠1 = 540 - 124;

                             4∠1 = 316;

                               ∠1 = 316 / 4;

                               ∠1 = 79;

Hence, the remaining angle will equal to 79.

That's all