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2 years ago

Find the measure of angle C of a triangle ABC, if m∠A = α, m∠B = 2α

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

6 0

Answer:

The measure of angle C is 180 - 3α

Step-by-step explanation:

Given;

triangle ABC, ΔABC

angle A, ∠A = α

angle B, ∠B = 2α

To calculate angle C, we must recall that, the sum of angles in a triangle is equal to 180°. Angle A, angle B, and angle C make up the total angle in the triangle.

∠A + ∠B + ∠C = 180

where

∠C is angle C

α + 2α + ∠C = 180

3α + ∠C = 180

∠C = 180 - 3α

∠C = 3(60 - α)

Therefore, the measure of angle C is 180 - 3α

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Answer:

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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