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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Related Questions:

Which among the following statements is/are not true?

I) The sum of opposite angles of a parallelogram is 180

II) The sum of adjacent angles of a parallelogram is 180

III) The opposite sides of a parallelogram are equal

IV) The sum of the inner angles of a parallelogram is 360

$\overset{\rightarrow}{a}$ ഉം $\overset{\rightarrow}{b}$ ഉം കോൺസ്റ്റന്റ് വെക്ടറുകളും $\overset {\rightarrow}{r}=\overset{\rightarrow}{a}e^{5t}+ \overset{\rightarrow}{b}e^{-5t}$ ഉം ആണെങ്കിൽ $\frac{d^2r}{dt^2}-25r$ ആണ്

t=2 ആണെങ്കിൽ x=t²+ 2, y=4t-5, z=2t²-6t² എന്നീ കരുതലുള്ള കർവിൽ ഉള്ള യൂണിറ്റ് ടാൻജന്റ വെക്ടർ ആണ്

In the figure the coordinates of the endpoints of a line are given. The point P divides the line in the ratio 2:3. The coordinates of P are:

Which among the following are the coordinates of the fourth vertex of the parallelogram?