Two angles are complementary. The measure of the larger angle is 5 times the measure of the smaller. What are the measures of the angles?

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Answer 1 · 2015-12-25T02:34:57

#15˚,75˚#

Call the first angle's measurement #mangle1#.

The second angle is #5# times this, or #5(mangle1)#.

Since the two angles are complementary (have a sum of #90˚#), we can relate the two angles him as follows:

#mangle1+5(mangle1)=90#

#6(mangle1)=90#

#mangle1=15#

Since #mangle2# is #5# times this, #mangle2=15xx5=75#.