Answer:
Angle O = 72°, Angle M = 18°, Angle N = 90°
Step-by-step explanation:
According to the angle sum theorem, all interior angles of a euclidean triangle always add up to 180°.
given 5(Angle M) = Angle N, and 4(Angle M) = Angle O, you can substitute these equations into the equation defined by this theorem, Angle M + Angle N + Angle O = 180°
. Angle M + 5(Angle M) + 4(Angle M) = 180°
10(Angle M) = 180°.
then you divide. Angle M = 18°
with this statement. you can substitute this into the other equations to get the other answers.
5(18°) = Angle N, 4(18°) = Angle O.
90° = Angle N, 72° = Angle O.
