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One angle of an isosceles trapezoid has measure 57°. Find the measures of the other angles.
Solution:
To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
Isosceles trapezoid is a trapezoid whose two opposite sides and two adjacent angles are congruent. If the two adjacent angles of the lower base are congruent, then the two adjacent angles of the upper base are also congruent.
For any trapezoid, the two adjacent sides of a leg are supplementary angles because the upper and lower bases are parallel.
Therefore, the other angles of an isosceles trapezoid are
There's another way in solving for the other angles of an isosceles trapezoid. For any four closed figures like quadrilateral, trapezoid, parallelogram, rhombus, rectangle, and square, the sum of their internal angles is equal to 360°.
Therefore, the other angles of an isosceles trapezoid are
