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Alja [10]
3 years ago
14

he measures of the angles of a triangle are (2x), (x + 14), and (x - 38). Determine the value of x and the measures of each of t

he three angles.
Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

<u>Value of x:</u>

x = 1

<u>Values of Each Side:</u>

(2x) Measure = 102

(x + 14) Measure = 65

(x - 38) Measure = 13

Step-by-step explanation:

We know that the measures of a triangle always add up to 180.

So to solve, we use the equation: (2x) + (x + 14) + (x - 38) = 180. To solve, first first combine like terms to get: 4x - 24 = 180. Now add 24 to both sides to get: 4x = 204. Now divide 4 from both sides to get: x = 51.

Now insert 51 for x in all the angles to get the final measures.

Hope it helps!

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Step-by-step explanation:

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