Question

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

Answer 1

Therefore the measure of the angle z is

`m\angle z= 122\°`

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°.

`\angle x+\angle y+\angle z=180\°` ..Triangle sum property.

Substituting the values we get

`31+27+\angle z=180\\\angle z=180-58=122\\\angle z=122\°`

Therefore the measure of the angle z is

m∠z=122°