Question

if measure of angle hlm = 145, find measure of angle mlj.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the measures of angles in a triangle is 180 degrees. If we assume that \(\angle HLM = 145^{\circ}\), and we know that \(\angle HLM\) and \(\angle MLJ\) form a linear - pair (a straight - line angle which is 180 degrees).
Let \(x=\angle MLJ\). Then \(\angle HLM + x=180^{\circ}\).

Step2: Solve for \(\angle MLJ\)

We have the equation \(145 + x = 180\).
Subtract 145 from both sides of the equation: \(x=180 - 145\).
\(x = 35\).

Answer:

35