The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?

100°

Step-by-step explanation:

The ratio of angles of the triangle is 2:2:5. We know that the angle sum property of the triangle is 180°. So that , let the ratio be 2x : 2x : 5x .

=> 2x + 2x + 5x = 180°

=> 9x = 180°

=> x = 180°/9

=> x = 20°

Here the largest ratio is 5x . Therefore the largest Angle is ,

=> Largest Angle = 5x

=> Largest Angle = 5 × 20°

=> Largest Angle = 100°

the answer is the third / last answer

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