Question

I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):

Answer 1

Given:

$m\angle L=m\angle Z=70^\circ$

$m\angle N=m\angle Y=90^\circ$

To find:

The value of $m\angle 1$.

Solution:

In triangle XYZ,

$m\angle Y=m\angle N=90^\circ$        (Given)

$m\angle Z=m\angle L=70^\circ$         (Given)

$m\angle X+m\angle Y+m\angle Z=180^\circ$        [Angle sum property]

$m\angle 1+90^\circ+70^\circ=180^\circ$

$m\angle 1+160^\circ=180^\circ$

$m\angle 1=180^\circ-160^\circ$

$m\angle 1=20^\circ$

Therefore, the $m\angle 1$ is 20°.