What is the value of x-:solve it...

1.	What is the value of x-:solve it...
Answer» Step-by-step EXPLANATION: WE *WILL* DO A *CONSTRUCTION* drawn OD PERPENDICULAR bisectorON CD PROOF IN TRIANGLE AOB OAB+ABO+BOA=180 20+10+ABO=180 ABO=180-30 ABO=150 . IN TRIANGLE ABC AB=AC CBA=ACB ACB+CBA+CAB=180 - 2ACB+60+20=180 JUST PROVE 2ACB=180-80 2ACB=100 ACB,=50 IN TRIANGLE OCB OBC=CBA-ABO OBC=50-10 OBC=40 IN TRIANGLE ODC AND ODB ODC=ODB. EACH 90 OD =OD. COMMON CD=DB. CONSTRUCTION TRIANGLE ODC CONGRUENT ODB. SAS OCB=OBD CPCT IN TRIANGLE ODC** O+C+B=180 O+C+C=180 O=240 O=100 COB=100 AOC+AOB+BOC*=360 X+150+100=360 X=360-250 X=110

Answer»

Step-by-step EXPLANATION:

WE WILL DO A CONSTRUCTION

drawn OD PERPENDICULAR bisectorON CD

PROOF

IN TRIANGLE AOB

OAB+ABO+BOA=180

20+10+ABO=180

ABO=180-30

ABO=150

IN TRIANGLE ABC

AB=AC

CBA=ACB

ACB+CBA+CAB=180

2ACB+60+20=180 JUST PROVE

2ACB=180-80

2ACB=100

ACB,=50

IN TRIANGLE OCB

OBC=CBA-ABO

OBC=50-10

OBC=40

IN TRIANGLE ODC AND ODB

ODC=ODB. EACH 90

OD =OD. COMMON

CD=DB. CONSTRUCTION

TRIANGLE ODC CONGRUENT ODB. SAS

OCB=OBD CPCT

IN TRIANGLE ODC

O+C+B=180

O+C+C=180

O=2*40

O=100

COB=100

AOC+AOB+BOC=360

X+150+100=360

X=360-250

X=110

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