Question

Find the angle measure x in the following figure:

Answer 1

Answer:

x = 45°

Step-by-step explanation:

This is a good question

We will take the supplement of all the given angles, i.e. subtract them from 180 (This is done to get the measurements of the interior angles of the quadrilateral)

The angles we get are:

180 - 2x + 5 = 185 - 2x

180 - 2x

180 - 3x + 10 = 190 - 3x

180 - x - 15 = 165 - x

Now, we know that sum of all interior angles of a quadrilateral = 360

∴ (185 - 2x) + (180 - 2x) + (190 - 3x) + (165 - x) = 360

185 - 2x + 180 -2x + 190 - 3x + 165 - x = 360

185 + 180 + 190 + 165 - 2x - 2x - 3x - x = 360

720 - 8x = 360

- 8x = 360 - 720

- 8x = -360

8x = 360

x = 360 ÷ 8

x = 45°

Hope it helps

You can cross check by substituting x's value

Answer 2

Answer:

x = 40°

Step-by-step explanation:

follow the steps and you will understand