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°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

b) well because you get well