Question

what is the value of y?
3y - 14°
3y + 44° 3y
write your answer as an integer or as a decimal rounded to the nearest tenth.
y = □°
submit

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$3y + 44 = (3y - 14) + 3y$

Step2: Simplify the right-hand side

Combine like terms on the right:
$3y + 44 = 6y - 14$

Step3: Rearrange to isolate y terms

Subtract $3y$ from both sides:
$44 = 3y - 14$

Step4: Isolate the term with y

Add 14 to both sides:
$44 + 14 = 3y$
$58 = 3y$

Step5: Solve for y

Divide both sides by 3:
$y = \frac{58}{3}$

Answer:

$y \approx 19.3$