To solve this problem, we need to remember a key rule: angles on a straight line always add up to 180 degrees. This means if we know some of the angles, we can find the missing one by subtracting the known angles from 180.
Let’s go through each problem step by step:
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Problem 1:
We have three angles: 28°, 40°, and x.
Add the known angles: 28 + 40 = 68
Subtract from 180: 180 - 68 = 112
So, x = 112°
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Problem 2:
We have two angles: 52° and 62°, and x.
Add the known angles: 52 + 62 = 114
Subtract from 180: 180 - 114 = 66
So, x = 66°
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Problem 3:
We have three angles: 59°, 46°, and x.
Add the known angles: 59 + 46 = 105
Subtract from 180: 180 - 105 = 75
So, x = 75°
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Problem 4:
We have four angles: 34°, 42°, 39°, and x.
Add the known angles: 34 + 42 + 39 = 115
Subtract from 180: 180 - 115 = 65
So, x = 65°
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Problem 5:
We have three angles: 43°, 57°, and x.
Add the known angles: 43 + 57 = 100
Subtract from 180: 180 - 100 = 80
So, x = 80°
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Problem 6:
We have two angles: 48° and x.
Since they are on a straight line, they must add to 180.
So, x = 180 - 48 = 132
So, x = 132°
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Final Answer:
1) 112°
2) 66°
3) 75°
4) 65°
5) 80°
6) 132°
Parent Tip: Review the logic above to help your child master the concept of finding unknown angle measures worksheet.
