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Question

Find the value of x in the following quadrilateral.

A
85°
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B
95°
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C
90°
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D
185°
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Solution

The correct option is A 85°

Any quadrilateral can be divided into 2 triangles. So, the sum of the measures of internal angles of a quadrilateral is equal to the sum of the measures of internal angles of two triangles, i.e., 360°.


So, in quadrilateral ABCD, we can see,



ABC+BCA+CDA+DAB=360°

(x+5)+(x+5)+(x+5)
+(x+5)=360

4x+20=360

4x=36020=340

x=3404=85

So, the value of x is 85°.


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