Answer :
To determine the measure of the third angle in a triangle when the measures of the other two angles are given, follow these steps:
1. Recall that the sum of the angles in any triangle is always 180°.
2. You are given the measures of two angles:
- The first angle is 25°
- The second angle is 55°
3. To find the measure of the third angle, subtract the sum of the two known angles from 180°, as follows:
[tex]\[ \text{Measure of the third angle} = 180° - (\text{First angle} + \text{Second angle}) \][/tex]
4. Substitute the given angles into the equation:
[tex]\[ \text{Measure of the third angle} = 180° - (25° + 55°) \][/tex]
5. Calculate the sum of the first two angles:
[tex]\[ 25° + 55° = 80° \][/tex]
6. Subtract this sum from 180°:
[tex]\[ 180° - 80° = 100° \][/tex]
Thus, the measure of the third angle is 100°.
Now, let's match our calculated measure with the given choices:
- OA. 80°
- OB. 30°
- OC. 100°
- OD. 135°
The correct answer is:
OC. 100°
Therefore, the measure of the third angle is 100°.
1. Recall that the sum of the angles in any triangle is always 180°.
2. You are given the measures of two angles:
- The first angle is 25°
- The second angle is 55°
3. To find the measure of the third angle, subtract the sum of the two known angles from 180°, as follows:
[tex]\[ \text{Measure of the third angle} = 180° - (\text{First angle} + \text{Second angle}) \][/tex]
4. Substitute the given angles into the equation:
[tex]\[ \text{Measure of the third angle} = 180° - (25° + 55°) \][/tex]
5. Calculate the sum of the first two angles:
[tex]\[ 25° + 55° = 80° \][/tex]
6. Subtract this sum from 180°:
[tex]\[ 180° - 80° = 100° \][/tex]
Thus, the measure of the third angle is 100°.
Now, let's match our calculated measure with the given choices:
- OA. 80°
- OB. 30°
- OC. 100°
- OD. 135°
The correct answer is:
OC. 100°
Therefore, the measure of the third angle is 100°.
