In ∆ABC, ∟A + ∟B = 180⁰ - ∟C
true or false
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Step-by-step explanation:
Let us suppose the angles ∠P, ∠Q, ∠Rof a ∆PQR 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∘
∠R = (80 - 40)°
= 40∘
Hence, the measure of each angle is 80∘, 60∘ and 40∘respectively.
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0
Answer:
yes the equetion is correct
Step-by-step explanation:
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