Question

The figure shows three exterior angles of triangle ABC. Show that the measure of angle 1 plus the measure of angle 2 plus the measure of angle 3 equals 360​

Answer 1

95°

105°

130°

155°

so witch is it

Answer 2

Step-by-step explanation:

Let the angle near point A be $A$.

Let the angle near point B be $B$.

Let the angle near point C be $C$.

Let the external angle near point A be $extA$.

Let the external angle near point B be $extB$.

Let the external angle near point C be $extC$.

According to exterior angle property,exterior angle of an angle is the sum of other two angles.

So,

$extA=B+C\\extB=A+C\\extC=A+B$

According to angle sum property,the sum of angles in the triangle add to $180$

$extA+extB+extC=B+C+A+C+A+B=2(A+B+C)=2\times 180=360^{0}$