You have to be able to know the appropriate properties or postulates to apply on the angles or segments to simplify them. An example would be the Angle Addition Postulate. This postulates states that the sum of the individual measures of the interior angles is equal to the measure of the included angle. There are still a lot more properties to choose from depending on the situation.
Answer:
m<4 = 44°
Step-by-step explanation:
m<8 = 34°
m<9 = 40°
m<3 = 62°
m<2 = 34° + 40° (exterior angle theorem of a triangle)
m<2 = 74°
m<3 + m<4 + m<2 = 180° (sum of ∆)
62° + m<4 + 74° = 180° (substitution)
m<4 + 136° = 180°
m<4 = 180 - 136 (substitution property of equality)
m<4 = 44°
Answer:
Step-by-step explanation:
a1=2
r=4
n=8
True.
sum of exterior angles of a pentagon equals 360°
