Q. 74.7( 7 Votes )

The figure shows a square, a regular pentagon and a regular hexagon put together. How much is BAC?


Answer :

We know that, all angles of square are 90°.

In regular pentagon,


Sum of the angles of n-sided polygon = (n – 2) × 180°


S = (5 – 2) × 180°


S = 3 × 180°


S = 540°


Measure of each interior angle



In regular hexagon,


Sum of the angles of n-sided polygon = (n – 2) × 180°


S = (6 – 2) × 180°


S = 4 × 180°


S = 720°


Measure of each interior angle



Let us assume the two points adajacent A as P and L.



BAP + BAC + CAL + PAL = 360° (pair of angles at a vertex)


120° + 108° + 90° + BAC = 360°


318° + BAC = 360°


BAC = 360° - 318°


BAC = 42°


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.