Answer:
Explanation:
ALRIGHT I'LL HELP AAHHHH
One theorem that's commonly used on these problems is how angles that are split by a line combined equal 180. For example, in problem 5, you can see that there's an angle of 140. On the other side of the line that splits it, there is an unknown angle. But we can assume it equals 40 because 180 - 140 = 40.
It's 40 because to make it equal to 180 it has to be an amount that when added to 140, it equals 180.
Another theorem that's used a lot is how all the angles inside a triangle will always equal 180.
Five
From the info above, we have two angles already, 45 and 40. 40 + 45 is 85. So a number plus 85 equals 180. We can find this out with:
180 - 85 = 95
So ? is 95
Six
First, we should find the second angle inside the triangle. Since the angle outside on the other side is 110, the angle inside has to be 70, because 110 + 70 = 180
Now we have two angles, 70 and 80, which summed are 150. Now to find out what ? equals.
180 - 150 = 30
? is 30
Seven
This and eight is like the last ones, except in a different order. We have two angles inside, but we have to find out one outside. So first, we should the angle on the inside next to ?.
28 + 58 = 86
180 - 86 = 94
The angle on the inside is 94
So 94 and a number equals 180
180 - 94 = 86
? is 86
Eight
Same deal as the last one, so we should find the angle on the inside first.
35 + 95 = 130
180 - 130 = 50
So 50 and a number is 180, which can be written as:
180 - 50 = 130
? is 130