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QUESTION IMAGE

solve for the value of p. answer attempt 1 out of 2 p =

Question

solve for the value of p.
answer attempt 1 out of 2
p =

Explanation:

Step1: Set up the equation

Since the two angles are supplementary (they form a linear pair), their sum is \(180^{\circ}\). So, \(33+(7p + 7)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(33+7p+7=7p + 40\). The equation becomes \(7p+40 = 180\).

Step3: Solve for \(p\)

Subtract \(40\) from both sides: \(7p=180 - 40\), so \(7p=140\). Then divide both sides by \(7\): \(p=\frac{140}{7}\).

Answer:

\(20\)