Q. 1405.0( 3 Votes )

In Fig. 6.46, if y is five times x, find the value of z.


Answer :

Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


exterior angle is sum of interior opposite angles


If y = 5× x = 5x


By angle sum property


R + S + RQS = 180°


60° + y + x = 180°


y + x = 180° -60° = 120°


5x + x = 120°


6x = 120°


x = 20°


y = 5x = 5× 20° = 100°


By exterior angle property


z = 60° + y


z = 60° + 100° = 160°


Result:- the values of x;y;z are 20°;100°;160° resp.


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