Question

in the ratio 2: 1: 3, then find
the measure of smallest
angle.

Answer 1

Answer:

smallest angle = 30°

Step-by-step explanation:

We have angles of the triangle are in ratio 2 : 1 : 3

Let, the three angles of a triangle be 2k, 1k, 3k

We know that, Sum of all angles of a triangle is 180°.

2k + 1k + 3k = 180°

6k = 180°

k = 180/6

k = 30°

smallest angle = k = 30°

Answer 2

Correct Question:

If the angles in a triangle are in the ratio 2:1:3, then find measure of smallest angle.

Method:

Let Angle in a triangle be x

✰ According to Angle Sum property,

2x + 1x + 3x = 180°

=> 6x = 180°

=> x = 30°

Now, the angles in a triangle are in the ratio 2:1:3

=> First angle = 2x = 2×30° = 60°

Second angle = x = 30°

Third angle = 3x = 3×30° = 90°

Therefore, the smallest angle is 30°

✰ Additional information:

• Angle Sum property states that sum of all angles in a triangle is always equal to 180°
• Triangle is a shape that has 3 sides and quadrilateral has 4 sides.