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The ratio of the measures of the angles in a
triangle is 4:7:9. Find the measures of the
angles.
x=
The largest angle=

Sagot :

SalmonWorldTopperidn

Explanation:-

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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