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A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where the diagonals intersect.
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The diagram below shows the rectangle with the diagonals and half one of the angles with size x.
tan(x) = 5/2.5 = 2 ,
x = arctan(2)
larger angle made by diagonals
2x = 2 arctan(2) = 127° (3 significant digits)
Smaller angle made by diagonals
180 - 2x = 53°.
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Answer:
The measures of the angle is
π
3
Explanation:
the diagonal intersect in the middle
focus on one triangle and one angle a
sin(a) = 2,5/5
2a =
π
3
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