Question

The ratio of the measures of the angles of a triangle is 5:7:9. How many degrees is the largest angle? Round answer to the nearest whole number.

please help giving 20 points

Answer 1

77°

Explanation:

You want the largest angle of a triangle in which the angle measures have the ratio 5:7:9.

Multiplier

If x is the multiplier of the ratio that gives us actual angle measures, we have ...

5x +7x +9x = 180

x = 180/21

Angle

Then the largest angle is ...

9x = 9(180/21) = (3/7)(180) ≈ 77 . . . . . . degrees

The largest angle is about 77 degrees.

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Additional comment

The two smaller angles are about 43° and 60°.

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Answer 2

well the best I can say is maybe multiply all of the numbers

Explanation:

The first step

understanding

`5 * 7 * 9 = x / 3`

second step

proving

35*9=x÷3

315÷3

just do the 315÷3 and you should get an answer