Problem 4
Let's define these point locations
- A = (-2, 2)
- B = (0,0)
- C = (0,4)
- D = (4,0)
Angle DBC is 90 degrees since it covers the upper right quadrant
Angle CBA is 45 degrees
Therefore, angle ABD is 90+45 = 135 degrees.
Check out the diagram below.
Answer: 135 degrees
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Problem 11
x = the unknown angle
angle x and 140 combine to a straight angle (180 degrees)
x+140 = 180
x = 180-140
x = 40
Answer: 40 degrees
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Problem 12
This time the angles add to 90
x+36 = 90
x = 90-36
x = 54
Answer: 54 degrees
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Problem 13
The two angles x and 90 combine to a 120 degree angle
x+90 = 120
x = 120-90
x = 30
Answer: 30 degrees
