Question

question
△brp≅△lhk. solve for x and then find the m∠r
answer
attempt 1 out of 3
x =
angle r =

Explanation:

Step1: Set equal corresponding angles

Since $\triangle BRP\cong\triangle LHK$, $\angle R=\angle H$. So $18x + 4=58$.

Step2: Solve for x

Subtract 4 from both sides of the equation: $18x=58 - 4=54$. Then divide both sides by 18: $x=\frac{54}{18}=3$.

Step3: Find the measure of $\angle R$

Substitute $x = 3$ into the expression for $\angle R$. $m\angle R=18x + 4=18\times3+4=54 + 4=58^{\circ}$.

Answer:

$x = 3$
$Angle\ R=58^{\circ}$