Question

what is the value of w? w + 3° w w + 44°

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $w + 44^{\circ}=(w + 3^{\circ})+w$.

Step2: Simplify the equation

Expand the right - hand side: $w + 44^{\circ}=w + 3^{\circ}+w$. Combine like terms: $w + 44^{\circ}=2w+ 3^{\circ}$.

Step3: Solve for $w$

Subtract $w$ from both sides of the equation: $44^{\circ}=2w - w+ 3^{\circ}$. Then $44^{\circ}=w + 3^{\circ}$. Subtract $3^{\circ}$ from both sides: $w=44^{\circ}-3^{\circ}$.

Answer:

$41^{\circ}$