Question

The measure of angle of a Pentagon are x,x-5,2x-5,2x-5,2x+20.find tge value of each angle

Answer 1

Answer :

We know that there are five angles in a pentagon and they sum to 540°.

The given angles are x, (x - 5), (2x - 5), (2x - 5) and (2x + 20).

So,

x + (x - 5) + (2x - 5) + (2x - 5) + (2x + 20) = 540

or, 8x + 5 = 540

or, 8x = 540 - 5

or, 8x = 535

or, x = 66.875

Therefore, the measure of each angle of the pentagon are

66.875°, (66.875 - 5)°, (2×66.875 - 5)°, (2×66.875 - 5)° and (2×66.875 + 20)°

i.e., 66.875°, 61.875°, 128.75°, 128.75° and 153.75°

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