Two angles are complementary. One angle is 80% of the other angle. The two angles are
30∘,60∘
10∘,80∘
50∘,40∘
20∘,70∘
A
10∘,80∘
B
50∘,40∘
C
30∘,60∘
D
20∘,70∘
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Solution
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Let one angle be x.
Then, the other angle =80100×x=0.8x.
Given the angles are complementary
∴x+0.8x=90∘
⇒1.8x=90∘
⇒x=90∘1.8=50∘.
Hence, the angles are:
⇒x=1×50∘=50∘
⇒0.8x=0.8×50∘=40∘.
Hence, option D is correct.
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