Answer :
Let's solve the problem step-by-step:
1. Understanding Triangle Angle Sum Property:
- The sum of the interior angles of any triangle is always 180°.
2. Given Angle:
- One of the angles given in the problem is 110°.
3. Calculating the Sum of the Other Two Angles:
- To find the sum of the other two angles, subtract the given angle from 180°.
[tex]\[ 180° - 110° = 70° \][/tex]
4. Finding Suitable Angle Pairs:
- We need to find pairs of angles that together add up to 70°.
- Possible pairs of angle measurements are:
- 10° and 60°
- 25° and 45°
- 35° and 35°
5. Assessing the Options Provided:
- Let's see which options (A, B, C, D) fit into one of our identified pairs:
- Option A: 10° fits.
- Option B: 25° fits.
- Option C: 45° fits.
- Option D: 100° does not fit since no sum does include this angle to make 70°.
Thus, the pairs of angles that could describe the other two angles of the triangle are:
- 10° and 60°
- 25° and 45°
- 35° and 35°
These matching angle pairs indicate that B. 25° and C. 45° are correct.
1. Understanding Triangle Angle Sum Property:
- The sum of the interior angles of any triangle is always 180°.
2. Given Angle:
- One of the angles given in the problem is 110°.
3. Calculating the Sum of the Other Two Angles:
- To find the sum of the other two angles, subtract the given angle from 180°.
[tex]\[ 180° - 110° = 70° \][/tex]
4. Finding Suitable Angle Pairs:
- We need to find pairs of angles that together add up to 70°.
- Possible pairs of angle measurements are:
- 10° and 60°
- 25° and 45°
- 35° and 35°
5. Assessing the Options Provided:
- Let's see which options (A, B, C, D) fit into one of our identified pairs:
- Option A: 10° fits.
- Option B: 25° fits.
- Option C: 45° fits.
- Option D: 100° does not fit since no sum does include this angle to make 70°.
Thus, the pairs of angles that could describe the other two angles of the triangle are:
- 10° and 60°
- 25° and 45°
- 35° and 35°
These matching angle pairs indicate that B. 25° and C. 45° are correct.
