For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two

Question

3 years ago

5

angles into which the bisector divides the acute angle

1 answer:

Hitman42 [59] · Answer 1 · 2021-11-15T15:16:32+03:00

7 0

Let the acute angle be 2x.

Its complement is 90 - 2x.

It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

90 < 3x

or, x > 30.

2x > 60

Therefore, the statement is true for all angles that are greater than 60 degrees.