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Find the value of x.(a) 160°(b) 140°(c) 120°(d) 150°I got this question during an interview for a job.The query is from Sum of Measures of the Exterior Angles of a Polygon topic in division Quadrilaterals of Mathematics – Class 8

Answer»

Correct choice is (a) 160°

Easy EXPLANATION: As we know that sum of all the internal angles of the TRIANGLE is 180°.

Therefore x+y+z=180°

Therefore 30°+130°+z=180°

Therefore z=120°

Now we know that the external angle is ALWAYS a LINEAR angle.

Therefore x+y=180°

Therefore 20°+y=180°

Therefore y=160°.



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