Question

find angle man and AN is the bisector of angle BAC​

Answer 1

Answer:

in triangle ABM,

angle B + angle AMB + angle BAM = 180 { ANGLE SUM PROPERTY }

70 + 90 + angle BAM = 180

angle BAM = 180 - 160

angle BAM = 20.

IN triangle AMC,

angle AMC + angle MAC + angle C = 180 { ANGLE SUM PROPERTY }

90 + angle MAC + 20 = 180

angle MAC = 180 - 110

angle MAC = 70

angle MAN = angle NAC { a bisector divides a angle into two equal angles }

angle MAN = angle NAC = 70/2 =35

Therefore, angle MAN = 35