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Question
The measures of angles of a triangle are x°, (x − 20)°, (x − 40)°. Find the measure of each angle.
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Solution
The measures of angles of a triangle are x°, (x - 20)°, (x - 40)° respectively.
∴ x° + (x − 20)° + (x − 40)° = 180° ...(The sum of the angles of a triangle is 180°.)
⇒ 3x - 60° = 180°
⇒ 3x = 180° + 60°
⇒ 3x = 240°
⇒ x° = `(240°)/3`
⇒ x° = 80°
∴ (x − 20)° = (80° − 20)° = 60°
∴ (x − 40)° = (80° − 40)° = 40°
Hence, the measure of each angle is 80°, 60° and 40° respectively.
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