A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect
1 answer:
See the attached figure to better understand the problem
we know that
in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°
the answer is
the angles are
alfa=118.07°
beta=61.93°
we know that
in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°
the answer is
the angles are
alfa=118.07°
beta=61.93°
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Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is , where n = total number of sides.
Thus, we substitute n for 10, and you get:
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.