Question

what is the value of y? 45y, y+38°, 19y+33° write your answer as an integer or as a decimal rounded to the nearest tenth. y = ° submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$45y = (19y + 33) + (y + 38)$

Step2: Simplify right-hand side

Combine like terms:
$45y = 19y + y + 33 + 38$
$45y = 20y + 71$

Step3: Isolate y terms

Subtract $20y$ from both sides:
$45y - 20y = 71$
$25y = 71$

Step4: Solve for y

Divide both sides by 25:
$y = \frac{71}{25}$
$y = 2.84$

Step5: Round to nearest tenth

Round 2.84 to one decimal place:
$y \approx 2.8$

Answer:

$y = 2.8$