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The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.
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The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.
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Mathematics
3 years
2021-07-15T23:50:38+00:00
2021-07-15T23:50:38+00:00 1 Answers
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Answer:
36°, 72°, and 72°
Step-by-step 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