Question

Two angles are in the ratio 4:5 .If the sum of these angles is equal to the third angle, find the angles of the triangle.​

Answer 1

Answer:

Let the two angles of the triangle be 4x and 5x.

Then, as per the question, we know

third angle =4x+5x=9x

We know that sum of all the angles of a triangle is 180

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.

∴4x+5x+9x=180

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⇒18x=180

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⇒x=10

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    ....[On dividing both sides by 18]

So, first angle = 4x

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 = 4×10

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=40

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,

second angle = 5x

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 = 5×10

∘

=50

∘

 and

and third angle = 9x

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 = 9×10

∘

=90

Step-by-step explanation: