Question

Can someone help me solve for y. Please make sure to explain how you got that answer. THANKS<3​

Answer 1

Answer:

7.  y=42

8. y=58

If we could call on discord, zoom or anything like that i could easily explain. To type out the whole process would take all night

Step-by-step explanation:

Answer 2

Answer:

7.  42 degrees

8. 58 degrees

Step-by-step explanation:

Question 7

The three angles on the bottom line add up to 180.

65 + 31 + 2y = 180

2y = 84

So y = 42

Question 8

Let's start with the triangle with the 27 degree angle.

We have 27 + 90 + z = 180 (z is the top right angle)

z = 63 (which is also the bottom left angle of the triangle with the 32 degree angle).

63 + 32 + x = 180

x = 85 degrees

Now we look at the bottom polygon with the y degree angle we're trying to find.

We have one angle opposite x and another opposite z.

The angle opposite x + x = 180

The angle opposite x + 85 = 180

The angle opposite x = 95

The angle opposite z + z = 180

The angle opposite z + 63 = 180

The angle opposite z = 117

The sum of the interior angles of a polygon equals the number of sides less 2 * 180.  We have four sides, so the interior angles add up to 360.

90 + 95 + 117 + y = 360

Therefore y = 58 degrees