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3 years ago

8

The ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle.

2 answers:

scoray [572]3 years ago

8 0

Answer:

20

Step-by-step explanation:

Multiply each angle by x

2x: 7x: 9x

The sum of the angles in a triangle is 180

2x+7x+9x = 180

Combine like terms

18x = 180

Divide by 18

18x/18 = 180/18

x =10

The smallest angle is 2x

2x = 2(10) =20

iren2701 [21]3 years ago

4 0

Answer:

20º

Step-by-step explanation:

Total parts

2 + 7 + 9 = 18

Value of each part given 180º in a triangle

180 / 18 = 10º

Smallest angle

2 * 10 = 20º

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