Question

1. find m∠1.

l m
70°
n x z

m∠1 =

the measure of angle 1 is degrees

Explanation:

Step1: Identify triangle type

Both are right triangles ($\angle N = \angle Z = 90^\circ$), and $\triangle LNM \sim \triangle XZY$ by AA similarity (right angles + corresponding angles match).

Step2: Calculate $\angle M$

In $\triangle LNM$, sum of angles is $180^\circ$.
$\angle M = 180^\circ - 90^\circ - 70^\circ = 20^\circ$

Step3: Match corresponding angles

$\angle 1$ corresponds to $\angle M$, so $m\angle 1 = \angle M$.

Answer:

$m\angle 1 = 20$
The measure of angle 1 is 20 degrees