Question

The measures of two angles of a triangle are 90° and 27". Find the measure of the third angle, and classify the triangle according to its angles.

63", acute
63", right
243, right
243", acute

Answer 1

The measure of the third angle is 63° and the triangle is an acute triangle.

Step-by-step explanation:

To find the measure of the third angle of the triangle, subtract the sum of the two given angles from 180°, since the total sum of angles in a triangle is 180°.

Therefore, the measure of the third angle = 180° - (90° + 27°) = 63°.

Classifying a triangle by its angles, we can say that a triangle with angles measuring 90°, 27°, and 63° is an acute triangle as all of its angles are less than 90°.

Learn more about Triangle angles