Question

y - 46° y y - 50° y = ° submit

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $y=(y - 46^{\circ})+(y - 50^{\circ})$.

Step2: Simplify the equation

Expand the right - hand side: $y=y - 46^{\circ}+y - 50^{\circ}$. Combine like terms: $y = 2y-96^{\circ}$.

Step3: Solve for y

Subtract $y$ from both sides: $0=2y - y-96^{\circ}$. Then $y = 96^{\circ}$.

Answer:

$96$