Respuesta :
Answer:
120°
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 since a pentagon has 5 sides, thus
sum = 180° × 3 = 540°
let x be the measure of the 3 equal angles
Sum the interior angles and equate to 540
112 + 68 + 3x = 540, that is
180 + 3x = 540 ( subtract 180 from both sides )
3x = 360 ( divide both sides by 3 )
x = 120
Hence the measure of each equal interior angle is 120°
Answer:
120 degrees
Step-by-step explanation:
The angles in a pentagon add up to 540 degrees. This means that we can set up an equation to find this. We'll call the measure of the angle that we want to find x.
112+68+3x=540
Solving this, we get 180+3x=540, and 3x=360. That means that x is 120 degrees.
