Answer:
1. 125°
2. 112°
3. 132°
4. 135°
5. 45°
1. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 55° = 180°
∠1 = 180°-55°
∠1 = 125°
2. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 68° = 180°
∠1 = 180°-68°
∠1 = 112°
3. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 48° = 180°
∠1 = 180°-48°
∠1 = 132°
4. Since it is not shown in the figure , we will find each of the interior angle of the 8-sided polygon:
Sn = 180(n-2)/n
S8 = 180(8-2)/8
S8 = 180(6)/8
S8 = 1080/8
S8 = 135°
The octagon has 135° of each interior angle , hence ∠4 = 135°
5. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠5 = 180° - ∠4
∠5 = 180° - 135°
∠5 = 45°
1. 125
2. 112
3. 132
4. 135
5. 45
each angle in the polygon has a measure of 1080/8 = 135 degrees.
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Answers & Comments
Answer:
1. 125°
2. 112°
3. 132°
4. 135°
5. 45°
Step-by-step explanation:
1. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 55° = 180°
∠1 = 180°-55°
∠1 = 125°
2. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 68° = 180°
∠1 = 180°-68°
∠1 = 112°
3. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠1 + 48° = 180°
∠1 = 180°-48°
∠1 = 132°
4. Since it is not shown in the figure , we will find each of the interior angle of the 8-sided polygon:
Sn = 180(n-2)/n
S8 = 180(8-2)/8
S8 = 180(6)/8
S8 = 1080/8
S8 = 135°
The octagon has 135° of each interior angle , hence ∠4 = 135°
5. The sum of an interior angle and an exterior angle is 180° because they are supplementary
∠5 = 180° - ∠4
∠5 = 180° - 135°
∠5 = 45°
1. 125
2. 112
3. 132
4. 135
5. 45
each angle in the polygon has a measure of 1080/8 = 135 degrees.