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Pratiksha

· started a discussion

· 1 Months ago

Can't get it (Question: 111633.0 )

Why this -4

Question:

If the angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10, then the smallest angle is:

Options:
A) 30°
B) 32°
C) 27°
D) 20°
Solution:
Ans: (d)

Suppose the angles of a pentagon are

x°, 3x°, 6x°, 7x°, 10x°

The sum of the measures of the interior angles of a polygon with n sides = (n – 2)180 or (2n-4)\(\times\)900 

But x° + 3x° + 6x° + 7x° + 10x° = (2x5 -4) x 90°

or 27x° = 6 x 90°

or x = 20°

Knowledge Expert

· commented

· 1 Months ago

Dear student,
According to Question,
By formula ; ( 2n - 4) 90degree
and then same process of solution is followed after words.

Best wishes
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