Answer:
1. C
2. B
3. A, B, C
4. C
5. B
6. C
Step-by-step explanation:
1. You can remember the name by just looking at their positions- they alternate and they're on the exterior
2. They are supplementary meaning they add to 180°, set the angle measures up to 180 and solve for x!
76 + 2x = 180
2x = 104
x = 52
3. Equilateral trinagles have these qualities
4. Those hashes on the sides of the triangles signify those sides are the same length- that means the angles opposite of those sides share the same angle measure. If you know two angles are 35, and the last angle is 2x, you can set up an equation:
35 + 35+ 2x = 180
70 + 2x = 180
2x = 110
x = 55
5. That square means a right angle which equals 90°, like question 4, you set up an equation!
90 + 5x + 5x = 180
90 + 10x = 180
10x = 90
x = 9
6. Set up a proportion.
12 : 30 // 12(x) = 30, x = 2.5
8 : y // 8(2.5) = y, y = 20
