Question

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 1

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°.