Question

Find the
angle measure x
in fugure​

Answer 1

Answer:

x=120°

Step-by-step explanation:

The given figure is Pentagon.So,

No.of sides = 5

Sum of interior angles=(2n-4)×90° =(2×5-4)×90° =6×90° = 540°

Given angles,

70°+120°+110°+x+x =540°

=>300°+2x=540°

=>2x=540°-300°

=>x=240°/2

=>x=120°

Answer 2

Answer:

x = 120°

Step-by-step explanation:

The given figure is a pentagon, ie, it is a closed polygon with 5 number of sides.

The sum of internal angles of a polygon = (n-2)*180 = (5-2)*180 = 3*180 = 540

Here while we add all the internal angles given, we get,

110 + 120 + 70 + x + x = 540

300 + 2x = 540

2x = 540 - 300 = 240

x = 240/2 = 120°