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The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.

1 Answer

4 votes

Answer:

36°, 72°, and 72°

Explanation:

The interior angles of a triangle will always add to 180°.

Let's say the smallest angle is x, then the other two angles are both 2x.

x+2x+2x=180

5x=180

x=36

If our angles are x, 2x, and 2x, and we know x is 36, then the answer is:

36°, (2*36)°, and (2*36)°, which equals

36°, 72°, and 72°

Check: 36+72+72=180

User Kaushal Trivedi
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