dom546
01.10.2019 •
Mathematics
Find the area of this parallelogram
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Ответ:
90°
Step-by-step explanation:
The measure of the given angle is the average of the measures of the intercepted arcs:
70 = ((5x +10) +(11x +2))/2 = 8x +6
(70 -6)/8 = x = 8
Then arc DF is ...
11·8 +2 = 90 . . . . . degrees
Arc DF = 90°.
__
Check
Arc CE is 5(8)+10 = 50 degrees, so the angle where the chords cross is (90+50)/2 = 70, as per the problem statement.