Question

what is the value of w? 5w+47° 9w-44° w+16° w = □° submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $5w + 47=(9w - 44)+(w + 16)$

Step2: Simplify the right - hand side

Simplify $(9w - 44)+(w + 16)$: $9w+w-44 + 16=10w-28$
So the equation becomes $5w + 47=10w-28$

Step3: Move the terms with w to one side and constants to the other

Subtract $5w$ from both sides: $47 = 10w-5w-28$, which simplifies to $47 = 5w-28$
Then add 28 to both sides: $47 + 28=5w$, so $75 = 5w$

Step4: Solve for w

Divide both sides by 5: $w=\frac{75}{5}=15$

Answer:

$15$