Question

what is the value of c?
36y
$c + 36^circ$
$47y + 23^circ$
34y
$c = \square ^\circ$
submit

Explanation:

Step1: Use exterior angle theorem

$47y + 23^\circ = 36y + 34y$

Step2: Simplify and solve for y

$47y + 23^\circ = 70y$
$23^\circ = 70y - 47y$
$23^\circ = 23y$
$y = 1^\circ$

Step3: Find exterior angle value

$47(1) + 23^\circ = 70^\circ$

Step4: Solve for c

$c + 36^\circ = 70^\circ$
$c = 70^\circ - 36^\circ$

Answer:

$34^\circ$