Question

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

Explanation:

Step1: Set up equation

Since the sum of the angles forming a straight - line is 180° and there is a right - angle (90°) among them, we have the equation $(3p + 6)+(4p + 7)+90=180$.

Step2: Combine like terms

Combine the $p$ terms and the constant terms: $3p+4p+6 + 7+90=180$, which simplifies to $7p+103 = 180$.

Step3: Isolate the variable term

Subtract 103 from both sides of the equation: $7p=180 - 103$, so $7p=77$.

Step4: Solve for p

Divide both sides by 7: $p=\frac{77}{7}=11$.

Answer:

$p = 11$