The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?
1 answer:
Answer:
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°
<h3>
• Hence the largest Angle is 100° </h3>
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