Answer:
56° , 82° , 62° , 80° , 80°
Explanation:
Firstly find the measure of x
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540°
x + 118° + 100° + 100° + 124° = 540°
x + 442° = 540° ( subtract 442° from 540° )
x = 98°
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the exterior angle + interior angle = 180° , then
exterior angle = 180° - interior angle
∠ 1 = 180° - 124° = 56°
∠ 2 = 180° - 98° = 82°
∠ 3 = 180° - 118° = 62°
∠ 4 = 180° - 100° = 80°
∠ 5 = 180° - 100° = 80°