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

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

A52 °

B32 °

C22 °

D42 °

Answer:

D. 42 °

Read Explanation:

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

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