Question

Solve for y. will give brainiest

Answer 1

Answer:

y = 81°

Step-by-step explanation:

let the 5 th angle in the pentagon be x

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 angles and equate to 540

x + 95 + 125 + 116 + 105 = 540

x + 441 = 540 ( subtract 441 from 540 )

x = 99°

x and y are adjacent angles and supplementary, sum to 180° , that is

x + y = 180°

99° + y = 180° ( subtract 99° from both sides )

y = 81°