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4 votes
Solve the indicated quantity.

Solve the indicated quantity.-example-1
Solve the indicated quantity.-example-1
Solve the indicated quantity.-example-2
User Kissgyorgy
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7.1k points

1 Answer

4 votes
We will solve 2 first.
Angle MIE = 75 degrees. Angles MIK and KIE adds up to angle MIE. So we will add angles MIK and KIE and set them equal to 75.
x + 2x = 75
Combine like terms:
3x = 75
Divide 3 to both sides:
x = 25
Now that we have the value of x, we can find the exact value of the angles by putting 25 in for x.

Now we will do 3. Pretty much the same thing, just more numbers. Angle ANY is 110 degrees and is the sum of angles AND and DNY. So again, we will set these two angles together and set it equal to 110.
2x + 10 + 30 = 110
Combine like terms:
2x + 40 = 110
Subtract 40 to both sides:
2x = 70
Divide 2 to both sides:
x = 35
Now again, put in the x value, 35, for x.

Hope this helped!
User CtheGood
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