1.

In the given figure find the values of x & y respectively.(a) 14° & 166°(b) 166° & 14°(c) 170° & 10°(d) 10° & 170°I have been asked this question by my school teacher while I was bunking the class.My question is from Sum of Measures of the Exterior Angles of a Polygon topic in portion Quadrilaterals of Mathematics – Class 8

Answer» CORRECT choice is (b) 166° & 14°

For explanation I would say: The polygon in the ADJOINING figure is a hexagon. In order to find the VALUE of x we ought to know the sum of all the internal ANGLES of any hexagon. The formula used is (n-2)180°. Therefore we get the sum of all the angles as 720°.

Therefore 84°+126°+149°+x°+104°+91°=720°

Therefore x=166°

Now we use the property of EXTERNAL angles and find the value of y.

Therefore x+y=180°

Therefore y=14°.


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