Question

The ratios of the angles in ABC is 3:5:7. Find the

measure of the angles.
The smallest angle is

Answer 1

Answer:s

The three angles are 36, 60, and 84 degrees

Smallest angle is 36 degrees

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Step-by-step explanation

The ratio 3:5:7 is equivalent to 3x:5x:7x as we can multiply all parts of any ratio by the same number, and still have it be the same ratio.

So we can think of the three angles as 3x, 5x, 7x

Add up those angles. Set them equal to 180 and solve for x.

3x+5x+7x = 180

15x = 180

x = 180/15

x = 12

Use this x value to find the three angle measures

3x = 3*12 = 36

5x = 5*12 = 60

7x = 7*12 = 84

As a check, add up the angles to get: 36+60+84 = 180

So the answer is confirmed.

Answer 2

So you have a diagram or picture of the triangle?

Anyways...

Answer: 36

Explanation:

3:5:7 is the ratio of the triangle's angles

The sum of all angles = 180 degrees.

3 + 5 + 7 = 15

Lets assume 'a' is the smallest angle with the ratio of 3

b is the second largest with a ratio of 5

And c is the largest angle with the ratio of 7

In other words:

a + b + c = 180

For 15 to get to 180 => 180 ÷ 15 = 12

So 15 × 12 = 180

So for 3 to get to a => 3 × 12 = 36

Thus the smallest angle is 36 degrees