Question

From the given information in the figure, find the measure of ABF.​

Answer 1

120°

Explanation:

In triangle BDC, <CDB = <DCI , because they are alternate interior angles.

Also, <DBC = <BCH , {alternate interior angles}

And <BCD + <CDB + <DBC = 180°

=> 2x + 4x + 3x = 180°

=> 9x = 180°

Divide by 9,

=> x = 20°

<ABF = <BCI

= 2x + 4x

= 6x

= 6*20°

= 120°