Question

1 interior angle measure: 1800°
1 exterior angle measure: 150
2.
sum of interior angles: 1800°
1 interior angle measure:________
1 exterior angle measure:________

1. imagine a regular polygon with 12 sides.

sum of interior angles:________
1 interior angle measure:________
1 exterior angle measure:________

1. find x in the triangle.

15 + x

Explanation:

Step2: Sum of interior angles

Assume octagon (n=8), sum = (8-2)×180°=1080°

Step2: 1 interior angle

1080°÷8=135°

Step2: 1 exterior angle

360°÷8=45°

Step3: Sum of interior angles

n=12, sum=(12-2)×180°=1800°

Step3: 1 interior angle

1800°÷12=150°

Step3: 1 exterior angle

360°÷12=30°

Step4: Solve for x

Assume triangle angle 15+x=60°, x=60-15=45°

Answer:

1. 1 Interior Angle Measure: 135°, 1 Exterior Angle Measure: 45°
2. Sum of Interior Angles: 1800°, 1 Interior Angle Measure: 150°, 1 Exterior Angle Measure: 30°
3. x=45