Given that the measure of ∠x is 31°, and the measure of ∠y is 27°, find the measure of ∠z.

Therefore the measure of the angle z is

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°.

 ..Triangle sum property.

Substituting the values we get

Therefore the measure of the angle z is

m∠z=122°