Question

Help the pic has questions

Answer 1

Answer:

a) $x = 9$

b) $m \angle 1 = m \angle 2 = 54^\circ$

Step-by-step explanation:

Since $r\ ||\ s$, through the Alternate Angle Theorem, $m \angle 1 = m \angle 2$. We can solve for x by setting up an equation where both angles are equal to each other:

$m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9$

Now plug in x for both of the formulas to get their angles:

$m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ$$m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ$