To find the measures of the other two angles in the triangle, you can follow these steps:
1. Let's denote the two unknown angles as 7x and 9x since they are in a ratio of 7:9.
2. The sum of all three angles in a triangle is always 180 degrees. Therefore, you can set up an equation based on this fact: 100° + 7x + 9x = 180°
3. Combine like terms: 100° + 16x = 180°
4. Subtract 100° from both sides to isolate the term with x: 16x = 80° 5.
Now, solve for x by dividing both sides by 16: x = 5° 6. Finally, find the measures of the other two angles by substituting x back into 7x and 9x:
- The first angle is 7x = 7 * 5° = 35°
- The second angle is 9x = 9 * 5° = 45°
Therefore, the measures of the other two angles in the triangle are 35° and 45°, respectively.
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