Question

In the figure, a square is joined to a regular pentagon and a regular hexagon. The measure of ∠BAC is :

• A. 52 °
• B. 32 °
• C. 22 °
• D. 42 °

Answer 1

Answer:

D. 42 °

Interior angle of a regular pentagon = 108 Interior angle of a regular hexagon = 120 Angle of the square = 90 The sum of the angles at a point where three or more lines intersect is always 360° so, ∠BAC = 360 - [120 + 108 + 90] = 360 - 318 = 42