Question

?In a pentagon the measure of four angles are equal. If the measure of the 5th angle is 120° then what is each equal angle *​

Answer 1

$\huge{\underline{\sf{Question :-}}}}$

In a pentagon the measure of four angles are equal. If the measure of the 5th angle is 120° then what is each equal angle?

$\huge{\underline{\sf{Solution :-}}}}$

Given,

One angle of a pentagon = 120°

Let remaining four angles be x, x, x and x

∴ Their sum will be:

➩ 4x + 120° = 540°

(We know, sum of the interior angles of a pentagon is 540 degrees.)

➩ 4x = 540° – 120°

➩ 4x = 420°

➩ x = 105°

Therefore,

✮ Measure of each equal angles are 105° .

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Answer 2

Answer:

105 degree

Step-by-step explanation:

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