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Ratio of three angles of a triangle is 1 : 2 : 3. Find the angles.

User Firula
by
4.1k points

2 Answers

5 votes

Answer:

30°, 60°, 90°

Explanation:

The sum of the 3 angles in a triangle = 180°

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus angles are 30°, 60° and 90°

User Arcyno
by
4.4k points
4 votes

Answer:

30⁰ , 60⁰ , 90⁰

Explanation:

Let the angles x , 2x , 3x

By angle sum property:

x + 2x + 3x = 180⁰

6x = 180⁰

x = 30⁰

Angles are : 30⁰ , 60⁰ , 90⁰

User Michal Ostruszka
by
4.4k points