In the given figure, if y is five times x, find the value of z. – InterviewSolution

1.

In the given figure, if y is five times x, find the value of z.

Answer»

Given,

y = 5x

According to the angle sum property of a triangle,

60° + x + y = 180°

60° + x + 5x = 180°

60° + 6x = 180°

6x = 180° - 60° = 120°

x = 120°/6 = 20°

y = 5x = 5 x 20 = 100°

According to the exterior angle property,

z = 60° + y

= 60° + 100°

= 160°

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