Question

6. Find the measure of x' in the given figure.
दी गई आकृति में 'x' का मान ज्ञात कीजिए।
90°
120°
108°
100°
​

Answer 1

Answer:

The answer will be 58°.

Step-by-step explanation:

The given figure represents pentagon(not the regular one) whose total interior angle is given by;

(n-2) × 180

where, n is the no. of side of the polygon.

(5-2) × 180

3 × 180

540°

Total sum of interior angles of a Pentagon = 540°

Thus, 100 + 120 + 90 + 108 +  ∠1 = 540

∠1 + 418 = 540

∠1 = 122°. (i)

Now, ∠1 and ∠x are two linear pair of angles on a straight line.

Thus, ∠1 + ∠x = 180°

122 + ∠x = 180. (∠1 = 122 eq. (i))

∠x = 58°

Therefore, x = 58°

That's all.

Answer 2

Answer:

Answer:

The answer will be 58°.

Step-by-step explanation:

The given figure represents pentagon(not the regular one) whose total interior angle is given by;

(n-2) × 180

where, n is the no. of side of the polygon.

(5-2) × 180

3 × 180

540°

Total sum of interior angles of a Pentagon = 540°

Thus, 100 + 120 + 90 + 108 +  ∠1 = 540

∠1 + 418 = 540

∠1 = 122°. (i)

Now, ∠1 and ∠x are two linear pair of angles on a straight line.

Thus, ∠1 + ∠x = 180°

122 + ∠x = 180. (∠1 = 122 eq. (i))

∠x = 58°

Therefore, x = 58°

That's all.

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