Question

what is ( mangle 1 )?
( mangle 1 = square^circ )
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Explanation:

Step1: Find the triangle's third angle

First, calculate the unknown interior angle of the triangle using the fact that the sum of interior angles in a triangle is $180^\circ$.
Let the unknown interior angle be $x$.
$x = 180^\circ - 35^\circ - 100^\circ = 45^\circ$

Step2: Calculate $m\angle1$

$\angle1$ and the interior angle $x$ are supplementary (they form a linear pair, summing to $180^\circ$).
$m\angle1 = 180^\circ - 45^\circ$

Answer:

$135$