Question

find the measure of ∠jno. m∠jno =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle JNO$ and $\angle LOM$ are vertical angles. So, $12x - 15=5x + 48$.

Step2: Solve for x

Subtract $5x$ from both sides: $12x-5x - 15=5x-5x + 48$, which simplifies to $7x-15 = 48$. Then add 15 to both sides: $7x-15 + 15=48 + 15$, so $7x=63$. Divide both sides by 7: $x=\frac{63}{7}=9$.

Step3: Find the measure of $\angle JNO$

Substitute $x = 9$ into the expression for $\angle JNO$: $m\angle JNO=12x-15$. So, $m\angle JNO=12\times9 - 15=108 - 15=93$.

Answer:

$93$