Question

what is $mangle1$?
$mangle1=square^{circ}$

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). Let the third angle of the triangle be \(x\). So, \(x + 75^\circ+ 59^\circ= 180^\circ\). Solving for \(x\), we get \(x = 180^\circ-(75^\circ + 59^\circ)=180^\circ - 134^\circ = 46^\circ\).

Step2: Find \(m\angle1\)

\(\angle1\) and the third angle of the triangle are supplementary (they form a linear pair), so their sum is \(180^\circ\). Let \(m\angle1 = y\). Then \(y+46^\circ = 180^\circ\), so \(y = 180^\circ - 46^\circ=134^\circ\).

Answer:

\(134\)