Two complementary angles are such that two times the measure of one angle is equal to three times the measure of the other. find the measure of the smaller angle.............

Asked by eeshan.nk | 18th Jul, 2016, 04:20: PM

Expert Answer:

begin mathsize 16px style Let space the space measure space of space one space angle space be space straight x.
Then comma space the space measure space of space its space complement space equals 90 degree minus straight x
According space to space question comma space we space have
2 straight x equals 3 left parenthesis 90 degree minus straight x right parenthesis
rightwards double arrow 2 straight x equals 270 degree minus 3 straight x
rightwards double arrow 5 straight x equals 270 degree
rightwards double arrow straight x equals 54 degree
rightwards double arrow 90 degree minus straight x equals 90 minus 54 degree equals 36 degree
Hence comma space the space measure space of space smaller space angle space is space 36 degree. end style

Answered by Rashmi Khot | 18th Jul, 2016, 05:34: PM