Question

The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle?

Answer 1

Hey mate here is your answer

3x+10x+7x=180 (Sum of all angles of a triangle)

20x=180

x=180÷20

x=9

So,

3x=3×9=27

10x=10×9=90

7x=7×9=63

Answer: Measure of the smallest angle is 27.

Hope it will help you

Please mark me as brainliest

Answer 2

Question :

The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle?

Answer :

The measure of the smallest angle is 27°.

Step-by-step explanation :

Given, the ratio of the angles of the triangle are = 3 : 10 : 7

Let the angles be 3x, 10x and 7x.

By Angle Sum Property,

⇒ $\sf{3x+10x+7x=180^{\circ}}$

⇒ $\sf{20x=180^{\circ}}$

⇒ $\sf{x=\frac{180}{20}}$

⇒ $\sf{x=9}$

So,

⇒ $\sf{3x=3\times 9=27}$

⇒ $\sf{10x=10\times 9=90}$

⇒ $\sf{7x=7\times 9=63}$