Question

Help!!!!

What is the measure of y? (Hint- find the sum of the interior angles first)


If the angles are 112° and 88° and 135° what is the measure of y?


A.115

B.540

C.205

Answer 1

This is a relatively easy question if you know a couple things, so let me walk you through this step by step ok?

Answer: 115°

Sum of interior angles of a pentagon: 540°

Now with that said:

$540-(135+112+88+90)=y$

Your first step is to add all of the interior angles together, and then subtract it from the total sum of the interior angles of the shape that your working with.

If you don't know what the sum of all of the interior angles are for the shape you are working with, you can easily look it up on google to be sure.

If you have anymore questions, Don't be afraid to ask! I'm always glad to help, also if I am wrong please let me know and I promise I will come back and rework my math.

Thanks!

Answer 2

Answer:

Option A 115.

Step-by-step explanation:

In any quadrilateral having number of sides = n

Sum of all interior angles is = ( n-2 ) × 180°

Now in this question number of sides are n = 5

so sum of interior angles = (5 - 2) × 180°

                                          = 3 × 180°

                                          = 540°

Now sum of all interior angles = 90 + 135 + y + 88 + 112

                                                  = 425 + y

By the definition of interior angles.

425 + y = 540

          y = 540 - 425

              = 115°

Therefore, option A is the answer.