Answer:
Therefore the measure of the angle z is
[tex]m\angle z= 122\°[/tex]
Step-by-step explanation:
Consider a Triangle XYZ having angles,
∠x = 31°
∠y = 27°
To Find:
m∠z =?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
[tex]\angle x+\angle y+\angle z=180\°[/tex] ..Triangle sum property.
Substituting the values we get
[tex]31+27+\angle z=180\\\angle z=180-58=122\\\angle z=122\°[/tex]
Therefore the measure of the angle z is
m∠z=122°
