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In the figure (not drawn to scale), ABC and DEF are two triangles, CA is parallel to FD and CF, BE is a straight line. Find the value of x+y.

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185

°

134

°

158

°

176

°

answer is A.

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Detailed Solution

∠FCA=∠BFD
⇒x = 51

°

..... (Corresponding angles)
Now in △ABC , we have
y=51

°

+83

°

.....By using exterior angle property
⇒y=134

°

So, x+y=51

°

+134

°

=185

°

So, option 1 is the correct option.

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