The ratio of measures of the three angles of a triangle is 2:3:4. The measure of the largest angle is_______.
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1
Answer:
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Answered by
4
Answer:
80°
Step-by-step explanation:
Solution:-
=> The angels of triangle are in the ratio of 2 : 3 : 4
Now
=> Let the angle triangle are 2x , 3x , 4x
Using Angles sum property
=> Sum of all three angle of triangle is 180⁰
Applying this property
=> 2x + 3x + 4x = 180⁰
=> 5x + 4x = 180⁰
=> 9x = 180⁰
=> x = 180⁰/9
=> x = 20⁰
Now we get
=>∠1 = 2 × 20⁰ = 40⁰
=> ∠2 = 3 × 20⁰ = 60⁰
=> ∠3 = 4 × 20⁰ = 80⁰
We have to find
=> The largest angle is 80⁰
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