Question

what is the value of p? write your answer as an integer or as a decimal rounded to the nearest tenth. p =

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(3p - 41)+(p + 49)+35=180$.

Step2: Combine like - terms

First, simplify the left - hand side of the equation: $3p-41 + p+49 + 35=180$. Combining like terms gives $(3p + p)+(-41 + 49+35)=180$, which simplifies to $4p+(8 + 35)=180$, and further to $4p+43 = 180$.

Step3: Isolate the variable term

Subtract 43 from both sides of the equation: $4p+43-43=180 - 43$. This gives $4p=137$.

Step4: Solve for p

Divide both sides of the equation by 4: $p=\frac{137}{4}=34.25$. Rounding to the nearest tenth, $p = 34.3$.

Answer:

$34.3$