Given:
[tex]m\angle L=m\angle Z=70^\circ[/tex]
[tex]m\angle N=m\angle Y=90^\circ[/tex]
To find:
The value of [tex]m\angle 1[/tex].
Solution:
In triangle XYZ,
[tex]m\angle Y=m\angle N=90^\circ[/tex] (Given)
[tex]m\angle Z=m\angle L=70^\circ[/tex] (Given)
[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex] [Angle sum property]
[tex]m\angle 1+90^\circ+70^\circ=180^\circ[/tex]
[tex]m\angle 1+160^\circ=180^\circ[/tex]
[tex]m\angle 1=180^\circ-160^\circ[/tex]
[tex]m\angle 1=20^\circ[/tex]
Therefore, the [tex]m\angle 1[/tex] is 20°.
