Final answer:
Given a right triangle DEF with angle D measuring 28 degrees, the other two angles measure 90 degrees and 62 degrees. This is because the total of angles in a triangle is 180 degrees.
Step-by-step explanation:
The question is about finding the measures of the other two angles in a right triangle when the measure of one angle is given. The important point to remember is the sum of the angles in any triangle always adds up to 180 degrees. Given that triangle DEF is a right triangle, this means one angle measures 90 degrees. If angle D is 28 degrees, you simply subtract the known angles from 180 to find the measure of the missing angle.
So, the sum of angles D and the right angle is 28 + 90 = 118 degrees. Subtract this from 180 to find the third angle: 180 - 118 = 62 degrees. So, the measures of angles E and F in triangle DEF are 90 degrees (right angle) and 62 degrees, respectively.
Learn more about Angles in a Triangle