3 years ago

How big is angle theta? thank you in advance for your help!

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

Answer:

Θ = 124°

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

Here n - 5, thus

sum = 180° × 3 = 540°

Sum the given interior angles and equate to 540

2x - 3 + 2x + 7 +3x - 4 + 3x - 4 + 3x - 2 = 540, that is

13x - 6 = 540 ( add 6 to both sides )

13x = 546 ( divide both sides by 13 )

x = 42

Thus

Θ = 3x - 2 = 3(42) - 2 = 126 - 2 = 124°

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