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11 votes
ML1=
100
120°
100
How to find the measurement

ML1= 100 120° 100 How to find the measurement-example-1
User Asad
by
6.6k points

1 Answer

4 votes

Answer:

∠ 1 = 50°

Explanation:

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° × 3 = 540°

sum the 4 angles of the polygon and equate to 540°

let the unknown interior angle be x

x + 100° + 120° + 100° + 90° = 540° , that is

x + 410° = 130°

∠ 1 and x are adjacent angles on a straight line and sum to 180° , so

∠ 1 = 180° - 130° = 50°

User Coalmee
by
7.7k points