17 In a plane the distinct lines AB and CD intersect at A wh

17. In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of LBAC is 47°, What is the measure of ZBAD ? A. 43 B. 47 C. 94 D. 133 E. 137

Solution

Solution :- since the distinct lines AB and CD intersect at A and A is between C and D .

we know that a line can attains angle of maximum 180 degree .

now angle BAC +angle BAD =180 degree

but angle

bac=47 degree , thus angle BAD =180 degree - angle BAC

so angle BAD = 180 -47 =133 degree

hence D =133 degree is correct answer .