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If an angle is 30° more than half its complement what is its measure?

Answer 1

Sadie Allen

Angle is #50^@#

Let the angle be #x#, then its complement is #90^@-x#

As #x# is #30^@# more than half its complement, we have

#x=1/2(90^@-x^@)+30^@#

Hence #x=45^@-x/2+30^@#

or #x+x/2=75^@#

i.e #(3x)/2=75^@# and #x=75xx2/3=50^@#

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Answer 2

Ella Armstrong

Let x be the measure of the angle.

The complement of the angle is (90° - x).

According to the given condition: x = (90° - x)/2 + 30°

Solving for x: x = (90° - x)/2 + 30° 2x = 90° - x + 60° 3x = 150° x = 50°

So, the measure of the angle is 50°.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.