Question

what is the value of w? w + 37° w - 20° w w =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $w + 37^{\circ}=w+(w - 20^{\circ})$.

Step2: Simplify the equation

$w + 37^{\circ}=w+w - 20^{\circ}$. Combine like terms: $w + 37^{\circ}=2w-20^{\circ}$.

Step3: Solve for w

Add $20^{\circ}$ to both sides: $w+37^{\circ}+20^{\circ}=2w-20^{\circ}+20^{\circ}$, which gives $w + 57^{\circ}=2w$. Subtract $w$ from both sides: $w - w+57^{\circ}=2w - w$.

Answer:

$w = 57^{\circ}$