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

Question

asked Aug 7, 2022 206k views

2 Answers

Alon Shmiel · Answer 1 · 2022-08-10T19:17:53+0000

Answer:

20º

Explanation:

Total parts

2 + 7 + 9 = 18

Value of each part given 180º in a triangle

180 / 18 = 10º

Smallest angle

2 * 10 = 20º

Pygmalion · Answer 2 · 2022-08-13T14:19:53+0000

Answer:

20

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