Question

In the given figure, AE || BD. If BAE = 70° and AEB = 50°, then
find the measure of EBD, DBC, EBC and EBA.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

ANGLE EBD=50 DEGREE.

ANGLE DBC=70 DEGREE.

ANGLE EBC=120 DEGREE.

ANGLE EBA=60 DEGREE.

Step-by-step explanation:

IF AE PARALLEL BD.

THEN, ANGLE AEB=EBD (ALTERNATE INTERIOR ANGLE.)

THEREFORE,50 DEGREE =EBD.

IN TRAINGLE ABE,

ANGLE ABE+ EAB+AEB=180 (SUM OF ALL ANGLE OF TRAINGLE=180 DEGREE)

HERE,ANGLE ABE+50+70=180

ABE=(180-120)degree

ABE=60 DEGREE

ALSO,ANGLE ABE+EBD+DBC=180 (STRAIGHT ANGLE)

60+50+DBC=180 DEGREE

DBC=(180-110)degree

DBC=70 DEGREE

FURTHER,ANGLE EBC=ANGLE (EBD+DBC)

EBC=50+70 DEGREE

EBC=120 DEGREE.