the measures of angles triangle are x°,(x-20°),(x-40°).find the measures of each angle
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Let us suppose the angles P, Q, R of a ΔPQR be x°, (x - 20)°, (x - 40)° respectively.
P + Q + R = 180∘ (Angle sum property)
⇒ x∘ + (x - 20)° + (x - 40)° = 180∘
⇒ 3x - 60° = 180°
⇒ 3x = 240°
⇒ x = 80°
Therefore,
P = 80∘
R = (80 - 20)° = 60∘
Q = (80 - 40)° = 40∘
Hence, the measure of each angle is 80∘, 60∘ and 40∘ respectively.
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