208k views
22 votes
Solve for the angles x and y

I really really need help this is for a big test

Solve for the angles x and y I really really need help this is for a big test-example-1
User Sprague
by
3.9k points

1 Answer

12 votes

Answer:

x=127°

y=53°

Explanation:

to understand this

you need to know about:

  • polygon

tips and formulas:

  • sum of any polygon interior angles:(n-2)×180°
  • the given shape is a heptagon
  • a line contains 180°

let's solve

step-1: find the sum of the polygon interior angles

=(7-2)×180°

=5×180°

=900°

step-2: find x

according to the question

113+112+123+168+99+148+x=900

=>773+x=900

=>x=900-773

therefore

x=127

according to the question

127+y=180

=>y=180-127

therefore

y=53

User JohnDanger
by
3.6k points