U. AD-3

3. One of the acute angles in a right triangle has a measure of 34.6°. What is the measure of the other acute

angle?

a. 145.40

c. 55.4°

b. 34.6°

d. 90°

The measure of other acute angle is 55.4 degrees

Solution:

Given that,

One of the acute angles in a right triangle has a measure of 34.6°

The sum of the three angles of a triangle is always 180 degrees.

Also, that the measure of a right angle is always 90 degrees

Let "x" be the other acute angle

Therefore,

x + 90 + 34.6 = 180

x + 124.6 = 180

x = 180 - 124.6

x = 55.4

Thus the measure of other acute angle is 55.4 degrees