The inner angles of the triangle ABC are related as 3: 5: 7 find the angles of the triangle ABC
| April 29, 2021 | education
The inner angles of the triangle ABC are related as 3: 5: 7 find the angles of the triangle ABC and the outer corners of the triangle ABC.
1. Find the sum of numbers in relation to the angles of the triangle.
3 + 5 + 7 = 15.
2. Let’s calculate how many degrees are one part.
180/15 = 12 °.
3. Determine the size of each inner corner.
a) 12 * 3 = 36 °.
b) 12 * 5 = 60 °.
c) 12 * 7 = 84 °.
4. How many degrees is the outer corner that is adjacent to the inner corner?
a) 180 – 36 = 144 °.
b) 180 – 60 = 120 °.
c) 180 – 84 = 96 °.
Answer: Internal: 36 °, 60 °, 84 °. External: 144 °, 120 °, 96 °.
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