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What is the answer to this fast smart people

What is the answer to this fast smart people-example-1

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6 votes

Answer:

m<R = 106°

Explanation:

Given,

m<R = (6x+10)°

m<S = (2x+5)°

m<T = (3x-11)°

Now,

6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}

or, 11x+4° = 180°

or, 11x = 180°-4

or, x = 176°/11

or, x = 16°

therefore, x = 16°

m<R = (6x+10)°

= 6×16°+10°

= 96°+10°

= 106°

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