2 years ago

Literally 50 points for whoever can answer this

Mathematics

1 answer:

Liula [17]2 years ago

6 0

Answer:

92°

Step-by-step 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°

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