Question

find x in the given figure​

Answer 1

In ∆ORT,

By angle sum property of triangle,

angle O + Angle ORT + angle OTR = 180°

140° + a + b = 180°

a + b = 180° - 140°

a + b = 40°

Now,

In ∆RST,

By angle sum property of triangle,

Angle S + Angle SRT + Angle STR = 180°

x + a+a + b+b = 180°

x + 2a + 2b = 180°

x + 2 ( a + b ) = 180°

x + 2 ( 40° ) = 180°

x + 80° = 180°

x = 180° - 80°

x = 100°

Answer 2

X=100


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