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Answer :
Final answer:
The angle measures of the right triangle with one angle of 28 degrees are 28 degrees, 62 degrees, and 90 degrees because the sum of the angles in any triangle is 180 degrees.
Explanation:
The question pertains to finding the measures of all three angles in a right-angled triangle when one of the acute angles is given as 28 degrees. In geometry, we know that the sum of angles in any triangle is always 180 degrees. Since a right-angled triangle has one 90-degree angle, we can determine the measures of the other two angles.
To find the other acute angle, subtract the known acute angle and the right angle from the total sum of angles in a triangle:
180 degrees (total angles in a triangle) - 90 degrees (right angle) - 28 degrees (given angle) = 62 degrees.
Therefore, the three angle measures of the triangle are 28 degrees, 62 degrees, and 90 degrees.
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