Question

what is the value of s?
work it out
not feeling ready yet? these c

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(s + 29^{\circ}+9s - 33^{\circ}=11s - 19^{\circ}\).

Step2: Simplify the left - hand side

Combine like terms on the left - hand side: \((s + 9s)+(29 - 33)=10s-4\). So the equation becomes \(10s-4 = 11s - 19\).

Step3: Solve for \(s\)

Subtract \(10s\) from both sides: \(-4=s - 19\). Then add \(19\) to both sides: \(s=-4 + 19\).

Answer:

\(s = 15\)