Question

angles of a triangle are in the ratio 3:2:7. Find the
angles.​

Answer 1

Answer:

We know that the sum of angles of a triangle is 180 degrees ( AMS property)

So ,

if we consider "x" as the unknown angle  

then we get

3x + 2x + 7x = 180

12x = 180

x= 15 degrees

so the angles of the triangles are

3x=3(15)=    45 degrees

2x=2(15)=    30 degrees

7x=7(15)=  105 degrees

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Answer 2

We know the sum of angles of a traingle is 180°

Let the angles be 3x, 2x and 7x respectively

→ 3x + 2x + 7x = 180 (Angle Sum Property)

→ 5x + 7x = 180

→ 12x = 180

→ x = 180/12.

→ x = 15

Thus, the measures of angles are :-

• 3x = 3 × 15 = 45
• 2x = 2 × 15 = 30
• 7x = 7 × 15 = 105

Thus the measures of angles are 45°, 30° and 105° units