the measures of angle D and E add to 90 degrees therefore angle D and E are Complimentary angles.
What are Complimentary Angles ?
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
It is given that sin D = cos E
It is known that
[tex]\rm sin\theta = cos(90-\theta)[/tex]
therefore
sin D = cos(90-D)= cos E
90-D = E
D+E = 90
As the measures add to 90 degrees therefore angle D and E are Complimentary angles.
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