Question

what is m∠1?
(there is a triangle with angles 34°, 110° and the third angle adjacent to ∠1. ∠1 is formed by a side of the triangle and an extended line.)
m∠1 = □°
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Explanation:

Step1: Find third triangle angle

First, calculate the unknown interior angle of the triangle. The sum of interior angles in a triangle is $180^\circ$.
$180^\circ - 34^\circ - 110^\circ = 36^\circ$

Step2: Calculate supplementary angle $\angle1$

$\angle1$ and the $36^\circ$ angle are supplementary (they form a straight line, sum to $180^\circ$).
$180^\circ - 36^\circ = 144^\circ$

Answer:

$144$