punctul M se afla la intersectia bisectoarelor
pentru usurinta calculelor notez:
∡ABC=B
∡BAC=A
∡ACB=C
a)
MAC=A/2=30, A=60
ACM=C/2=40, C=80
B=180-A-C=180-60-80=40
b)
BAM=A/2=74/2=37
BCM=C/2=(180-A-B)/2=(180-74-70)/2=18
c)
A=46, B=100
A/2=23, C=180-A-B=180-46-100=34
AMC=180-A/2-C/2=180-23-17=140
BMC=180-C/2-B/2=180-17-50=113
d)
ABM=180-A/2-B/2=100
BMC=180-B/2-C/2=130
A/2+B/2=80
B/2+C/2=50
A+B=160
B+C=100 le adunam
A+B+C+B=260
180+B=260
B=80
A=80
C=20
n-am mai pus semnul de grad si de unghi, le pui tu cand copiezi
