Question

Literally 50 points for whoever can answer this

Answer 1

• 92°

Explanation:

Sum of internal angles of a regular polygon is:

• S = 180(n - 2)

We have here 5-sided polygon:

• S = 180*(5 - 2) = 180°*3 = 540°

Now sum the given angles measures and solve for x:

• 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
• 16x - 4 = 540
• 16x = 544
• x = 544/16
• x = 34°

Find the measure of angle R:

• m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
• m∠R = 92°