Geometry

[Guest]

Need help ASAP

a)The angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.

b)Based on the Exterior Inequality Theorem, what is a true
statement from this figure?

[Guest]

So what are the "exterior angle theorem" and the "exterior inequality theorem"?

[Guest]

a.) Exterior Angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.[cuemath]
That's why it can be said that,
m[tex]\angle[/tex]YXW = m[tex]\angle[/tex]XYZ+ m[tex]\angle[/tex]YZX

b.) External Inequality Theorem states that the measure of any exterior angle of a triangle is greater than either of the opposite interior angles.[cuemath]
So,
m[tex]\angle[/tex]YXW > m[tex]\angle[/tex]XYZ and
m[tex]\angle[/tex]YXW > m[tex]\angle[/tex]YZX