Math, asked by MissAnupriya, 5 months ago

Four angles of a pentagon are hundred degree, 175 degree, 85 degree and 75 degree. Find the 5th angle

Answers

Answered by MissPerfect09
9

Here, as per the provided question we are asked to find the fifth angle. (when four angles are given in an appropriate sequence) –

GIVEN :

  • Four Angles are – 100°, 175°, 85° and 75°.

TO FIND :

  • The fifth angle = ?

STEP-BY-STEP EXPLANATION :

Now, here we are asked to find the fifth angle from the given four angles. So, first of all for finding this we will have to consider the undefined fifth angle as 'x' –

Considering the fifth angle as 'x' (undefined)

Sum of a figure named 'Pentagon'= 540°

➠ 100° + 175° + 85° + 75° + x = 540°

➠ 435° + x = 540°

➠ x = 540° - 435°

➠ x = 105°

(Value of x) Therefore, fifth angle = 105°

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Answered by sainiinswag
4

Answer:

The 5th angle = 105°

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