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3 years ago

I need help with this

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

∠A = 73°

Step-by-step explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 since polygon shown has 5 sides, thus

sum = 180° × 3 = 540°

let x be the measure of the fifth angle in the polygon, then

104 + 118 + 96 + 115 + x = 540, that is

433 + x = 540 ( subtract 433 from both sides )

x = 107

The angles x and A form a straight angle and are supplementary, thus

∠A + x = 180, that is

∠A + 107 = 180 ( subtract 107 from both sides )

∠A = 73°

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