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exis [7]
4 years ago
14

The measure of each angles

Mathematics
1 answer:
Aleks [24]4 years ago
4 0
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
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Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?
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Answer:

<u>41 years ago</u>

Step-by-step explanation:

Let the no. of years ago be x.

Then, the equation we need would be :

=> 80 - x = 3(54 - x)

=> 80 - x = 162 - 3x

=> 2x = 82

=> x = 41

Sally's mother was 3 times her age <u>41 years ago</u>

Checking

=> Sally = 54 - 41 = 13

=> Mom = 80 - 41 = 39

=> 13 x 3 = 39 [∴Verified]

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Illustration (A)

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