Question

1 interior angle measure 1 exterior angle measure 2. sum of interior angles: 1 interior angle measure: 1 exterior angle measure: 3. imagine a regular polygon with 12 sides. sum of interior angles: 1 interior angle measure: 1 exterior angle measure: 4. find x in the triangle. x=

Explanation:

Question 3: Regular 12-sided polygon

Sum of Interior Angles:

Step1: Apply sum formula

$(12-2)\times180^\circ$

Step2: Compute result

$10\times180^\circ=1800^\circ$

1 Interior Angle Measure:

Step1: Divide sum by sides

$\frac{1800^\circ}{12}$

Step2: Compute result

$150^\circ$

1 Exterior Angle Measure:

Step1: Divide 360° by sides

$\frac{360^\circ}{12}$

Step2: Compute result

$30^\circ$

Question 4: Find x in triangle

Step1: Sum of angles=180°

$47 + (15+x) + (18+4x) = 180$

Step2: Combine like terms

$80 + 5x = 180$

Step3: Solve for x

$5x=100 \implies x=20$

Answer:

Sum of Interior Angles: 1800°
1 Interior Angle Measure: 150°
1 Exterior Angle Measure: 30°
x=20