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3 years ago

Two interior angles in a triangle measure 101 degrees and 34 degrees. What is the measure of the third angle?

1 answer:

Colt1911 [192]3 years ago

5 0

All the angles in a triangle equal 180 degrees.

So,

101+34+x=180

x= the missing angle.

135+x=180

Subtract both sides by 135.

x= 45

The missing angle equals 45 degrees.

I hope this helps!
~kaikers

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Answer:

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Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

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Equation: 4s + s + (s + 23) = 77

Combine like terms: 6s + 23 = 77

Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6: 6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

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