If the measures of the angles of a triangle are (2x)° , (3x − 5)° and (4x − 13)°. Then the value of x is
(a) 22
(b) 18
(c) 20
(d) 30

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Solution

(2x)° + (3x − 5)^∘ + (4x − 13)^∘ = 180° [Angle sum property of triangle]
⇒ 2x + 3x − 5 + 4x − 13 = 180°
⇒ 9x − 18 = 180
⇒ 9x = 198
⇒ x = 22
Hence, the correct answer is option (a).

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