1 Answer

Tim Schoch · Answer 1 · 2023-08-30T13:26:46+0000

Given:

$m\angle5=143^(\circ)$
$\angle1\text{ and }\angle5\text{ are corresponding angles.}$

Corresponding angles are equal.

$m\angle1=143^(\circ)$
$\angle1\text{ and }\angle3\text{ are vertically opposite angles.}$

Vertically opposite angles are equal.

$m\angle3=143^(\circ)$

Sum of the angles in a straight is 180 degree.

$m\angle2+m\angle3=180^(\circ)$
$m\angle2=180-143$
$m\angle2=37^(\circ)$

Therefore,

$m\angle2=37^(\circ)\text{ and m}\angle3=143^(\circ)$

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