Question

9. In the figure AB = AF and BC = CD. The size of angle DBF is


9. In the figure AB = AF and BC = CD. The size of angle DBF is


@Mathematics

Answer 1

angle C=180-2 angle cbd
angle A=180- 2 angle abf
and angle A+ angle C=90 (since aec is a right triangle)
so 180-2angle cbd+180-2 angle abf=90
we get
angle cbd+ angle abf =135
since
angle dbf +angle cbd + angle abf =180
we get angle DBF=45

Answer 2

you just beat me to it ash - good work