<u>Explanation</u><u>:</u><u>-</u>
We have given measure of angles of the triangle are in ratio 4 : 7 : 9 and here we need to find the measure of largest angle of a ∆.
Let, the three angles of a triangle be 4x, 7x, 9x.
We know that, Sum of all angles of a triangle is 180°.
4x + 7x + 9x = 180°
⇛20x = 180°
⇛x = 180°:20
⇛x = 9°
Now, finding largest angle by putting the value of “x”
- 4x = 4(9) = 36°
- 7x = 7(9) = 63°
- 9x = 9(9) = 81°
Hence ,the measure of largest angle is 81°.
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