Question

in the figure below, m ∠4=112°. find m ∠1, m ∠2, and m ∠3.
m ∠1 = °
m ∠2 = °
m ∠3 = °

Explanation:

Step1: Find m∠1

∠1 and ∠4 are supplementary (linear pair).
$m∠1 = 180^\circ - 112^\circ = 68^\circ$

Step2: Find m∠2

∠2 and ∠4 are vertical angles (equal).
$m∠2 = 112^\circ$

Step3: Find m∠3

∠3 and ∠1 are vertical angles (equal).
$m∠3 = 68^\circ$

Answer:

$m∠1 = 68^\circ$
$m∠2 = 112^\circ$
$m∠3 = 68^\circ$