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13 October, 2010

Finding angle

Q An angle is more than its complementary. Then the measure of the angle is

a)

b)

c)

d)

Most of students have answered a). This is not correct.

Please note the solution.

Let the angle be x, then its complement will be 90 -x.
Now, the angle is 14 degree more than the complement,
form an equaion

x = 90 - x + 14
2x = 104
x= 52

(You can orally check...52 is 14 more than (90-52 = 38))
So, the correct answer is d).

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