Answer :
To find the remaining angle in each triangle, we need to remember that the sum of all angles in a triangle is always 180 degrees. With two angles given, the third or remaining angle can be calculated by subtracting the sum of the two given angles from 180 degrees. Let's match each pair with its remaining angle:
1. For the pair 33 degrees and 65 degrees:
- Add the two given angles: 33 + 65 = 98 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 98 = 82 degrees
- The remaining angle is 82 degrees.
2. For the pair 62 degrees and 38 degrees:
- Add the two given angles: 62 + 38 = 100 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 100 = 80 degrees
- The remaining angle is 80 degrees.
3. For the pair 119 degrees and 23 degrees:
- Add the two given angles: 119 + 23 = 142 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 142 = 38 degrees
- The remaining angle is 38 degrees.
4. For the pair 96 degrees and 51 degrees:
- Add the two given angles: 96 + 51 = 147 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 147 = 33 degrees
- The remaining angle is 33 degrees.
5. For the pair 28 degrees and 87 degrees:
- Add the two given angles: 28 + 87 = 115 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 115 = 65 degrees
- The remaining angle is 65 degrees.
6. For the pair 16 degrees and 102 degrees:
- Add the two given angles: 16 + 102 = 118 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 118 = 62 degrees
- The remaining angle is 62 degrees.
These calculations ensure that the angles in each triangle add up to 180 degrees, as required by the properties of a triangle.
1. For the pair 33 degrees and 65 degrees:
- Add the two given angles: 33 + 65 = 98 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 98 = 82 degrees
- The remaining angle is 82 degrees.
2. For the pair 62 degrees and 38 degrees:
- Add the two given angles: 62 + 38 = 100 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 100 = 80 degrees
- The remaining angle is 80 degrees.
3. For the pair 119 degrees and 23 degrees:
- Add the two given angles: 119 + 23 = 142 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 142 = 38 degrees
- The remaining angle is 38 degrees.
4. For the pair 96 degrees and 51 degrees:
- Add the two given angles: 96 + 51 = 147 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 147 = 33 degrees
- The remaining angle is 33 degrees.
5. For the pair 28 degrees and 87 degrees:
- Add the two given angles: 28 + 87 = 115 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 115 = 65 degrees
- The remaining angle is 65 degrees.
6. For the pair 16 degrees and 102 degrees:
- Add the two given angles: 16 + 102 = 118 degrees
- Subtract this sum from 180 degrees to find the remaining angle: 180 - 118 = 62 degrees
- The remaining angle is 62 degrees.
These calculations ensure that the angles in each triangle add up to 180 degrees, as required by the properties of a triangle.
