Question

please solve this question for me​

Answer 1

Step-by-step explanation:

in ∆abm

bam+ amb+ abm = 180

bam+90+65= 180

bam= 25

in∆ amc

m+ c+ a= 180

90+ 30 + a= 180

a= 60

bam+ mac = bac

25+ 60 = bac

bac= 85

but an is bisector of ang. a

nac= 1/2 bac

nac = 42.5

therefore bam+ man+ nac= 85

25+ man + 42.5= 85

man = 85- 67.5

man= 17.5