Solve using the Triangle Theorem to find the measures of each angle in degrees.

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m<M = 27 degrees

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m<N = 29 degrees

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m<P = 124 degrees

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Step-by-step explanation:

Triangle Sum Theorem

| All the interior angles in a triangle add up to equal 180 degrees. |

Using Triangle sum theorem, you can make an equation:

3x + (3x +2) + (14x - 2) = 180

Solve for x:

3x + 3x +2 + 14x - 2 = 180 (get rid of parentheses)

20x = 180 (add all like terms)

x = 9 (divide both sides by 20)

Now you know that x = 9. You can use this to find the measure of all the angles by plugging in the value of x using the given expressions for each angle.

1. Find m<M:

m<M = 3x

x=9 so m<M = 3(9) = [27 degrees]

2. Find m<N:

m<N = 3x + 2

x=9 so m<N = 3(9) + 2 = 27 + 2 = [29 degrees]

3. Find m<P

m<P = 14x - 2

x = 9 so m<P = 14(9) - 2 = [124 degrees]

Hope this helps!!

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles