Question

what is the value of y?

p - 50°
p + 4°
y - 3°
p + 50°
y = □°

Explanation:

Step1: Use 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, \(p + 50=(p - 50)+(p + 4)\).

Step2: Solve for \(p\)

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LATEXBLOCK0
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Step3: Use the angle relationship

We know that \(y-3 + p+4=p + 50\) (by the exterior angle property or angle - sum in a different way of looking at the angles). Substitute \(p = 96\) into the equation \(y-3 + p+4=p + 50\).

$$
LATEXBLOCK1
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Answer:

\(49\)