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Angle Sum Property of a Quadrilateral

If a + 10o, 3...

Question

If a + 10^o, 3a + 10^o, 5a - 10^o and 3a - 10^o are the angles of a quadrilateral, then what is the value of a?

A

50^o

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B

40^o

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C

20^o

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D

30^o

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Solution

The correct option is D
30^o

Given, a + 10^o, 3a + 10^o, 5a - 10^o and 3a - 10^o are the angles of a quadrilateral.

We know that the sum of angles of a quadrilateral is 360^o.

Therefore,

(a + 10^o)+ (3a + 10^o) + (5a - 10^o) +(3a - 10^o) = 360^o

12a = 360^o

a = 30^o

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