Question

In fig.,the sides BC,AB and CA of ΔABC are produced to points X,Y and Z respectively.If ACX=105° and YAZ=45°,find all angles of ΔABC​

Answer 1

Answer:

angle BAC =45DEGREE (VERTICAL OPPOSITE ANGLES ARE EQUAL)

ANGLE BAC +ANGLE CBA = 105 (EXTERIOR ANGLE SUM PROPERTY)

LET ANGLE CBA = X

X+45 =105

105-45=60

ANGLE (BAC+CBA+BCA)=180

45+60+ANGLE BCA =180

BCA =180-(45+60)

BCA =180-105=75