Question

in the figure below, m∠1 = 5x° and m∠2=(x - 18)°. find the angle measures. m∠1 = m∠2 = try again incorrect your answer is incorrect.

Explanation:

Step1: Note angle - sum property

$\angle1+\angle2 = 90^{\circ}$ (assuming they are complementary as they seem to form a right - angle), so $5x+(x - 18)=90$.

Step2: Solve the equation

$5x+x-18 = 90$, $6x=90 + 18$, $6x=108$, $x = 18$.

Step3: Find $\angle1$ and $\angle2$

$m\angle1=5x=5\times18 = 90^{\circ}$, $m\angle2=x - 18=18-18 = 0^{\circ}$ (this might be wrong if the angle relationship was mis - assumed. If they are supplementary, $\angle1+\angle2 = 180^{\circ}$, then $5x+(x - 18)=180$, $6x=198$, $x = 33$. $m\angle1=5\times33 = 165^{\circ}$, $m\angle2=33 - 18 = 15^{\circ}$). Assuming supplementary:

Answer:

$m\angle1 = 165^{\circ}$
$m\angle2 = 15^{\circ}$