Question

find the value of p in rhombus fghi. i 5p - 17° f 5p + 27° p =

Explanation:

Step1: Recall rhombus property

Adjacent angles of a rhombus are supplementary, so $(5p - 17)+(5p + 27)=180$.

Step2: Simplify the left - hand side

Combine like terms: $(5p+5p)+(-17 + 27)=10p + 10$. So, $10p+10 = 180$.

Step3: Solve for $p$

Subtract 10 from both sides: $10p=180 - 10=170$. Then divide both sides by 10: $p=\frac{170}{10}=17$.

Answer:

$17$