A. What is the sum of the internal angles of a triangle B. Given the above sketch, compute the value of y.

A 180 degrees

B   y=15

Step-by-step explanation:

The angles of a triangle add to 180

6y-7 + 2y+3 + 4y+4 = 180

Combine like terms

6y+2y+4y -7+3+4 =180

12y=180

Divide by 12

12y/12 =180/12

y = 15

The sum of the internal angles in a triangle sum up to 180°.

So,

∠A + ∠B + ∠C = 180°

(4y + 4)° + (6y - 7)° + (2y + 3)° = 180°

4y + 6y + 2y + 4 - 7 + 3 = 180

12y + 0 = 180

12y = 180

y = 180/12

y = 15

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