Thirty-six points are arranged in a unit-square array as shown. Figure ABCDE is composed entirely of straight-line segments with vertices A, B, C, D, and E. Find the number of degrees in the sum of the interior angles of figure ABCDE. [The interior angle at D is a reflex angle whose measure is greater than 180°.]
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Answer:
Yes, I will solve it but please add the figure.
Step-by-step explanation:
Ok, from I figure that 'could' have been included, the answer goes as follows:
Angle A + Angle B = 180 . . . . . . I
(Since adjacent angles of parallelogram are supplementary)
If we take Angle DEC as 'x' then,
Angle AED + Angle DCB = x
(Keep same figure along the line BC, i.e. superimpose line AE of new figure with line BC of existing figure. You will see E-D-E(new)-C form a rectangle, so interior angles are equal, hence x)
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