Question

Given:

AB = BC

Angle BDC = 37½°

angle CBD =

37.5
60
105

Answer 1

105 is right

Explanation:

Given that AB=BC

Also angle BDC =37.5

Then angle subtended at the centre would be twice angle subtended at the arc

Hence we get

Angle CBD = supplementary of twice 37.5

In other words CBD and 75 degrees are supplementary

Hence Angle CBD = 180-75

=105 degrees

Last option is right.

Answer 2

Angle CBD = 180 - 2(37.5) = 180 - 75 = 105