- In the figure, find the measure of angles.
1, 2, 3, 4. Find the sum of 1, 2 and 3
What is the relation between the sum of the
interior angles and the sum of exterior angles.
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Step-by-step explanation:
Angle 1 be x:
80+X=180
x=180-80=100° { linear pair}
Angle 3 be y:
60+y=180y=180-60=120° { linear pair}
Angle 4 be z:
60+80+z=180. { Angle Sum Property of Triangle , sum all angles is 180}
60+80+z=180
140+z=180
z=180-140= 40°
Angle 2= Sum of opposite interior angles of triangle
Angle 2= 80+60= 140°
The sum of Angle 1+2+3= 100+120+140=360°{ sum of all exterior angle of triangle or any other polygon is 360°}
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