Verified Answer :
The sum of all interior angles of a triangle is 180 degrees. The sum of angels is 180 degrees for option D.
The measures of angles of the given triangle are 75 degrees, 5 degrees and 100 degrees. Option D is the correct answer.
What is the angle of a triangle?
In a triangle, edges meet at a point and form an angle. A triangle has three angles. The angle is denoted using the symbol \(\angle\)measured in degrees.
- The Angle of a Triangle
In each triangle, there are 3 interior angles. The triangle has a property that the sum of all interior angles of a triangle is 180 degrees.
Given that there is a triangle having 3 interior angles. We need to identify the measures of angle. We use the property of the sum of angles to identify the measures.
For Option A, the sum is,
\(\angle 75^\circ + \angle 15^\circ+ 10^\circ =100^\circ\)
For Option B, the sum is,
\(\angle 150^\circ + \angle 20^\circ+ 50^\circ =220^\circ\)
For Option C, the sum is,
\(\angle 50^\circ + \angle 50^\circ+ 100^\circ =200^\circ\)
For Option D, the sum is,
\(\angle 75^\circ + \angle 5^\circ+ 100^\circ =180^\circ\)
For Option E, the sum is,
\(\angle 70^\circ + \angle 60^\circ+ 40^\circ =170^\circ\)
We can see that the sum of interior angles is 180 degrees for only Option D.
Hence we can conclude that the measures of the angle are 75 degrees, 5 degrees and 100 degrees. Option D is the correct answer.
To know more about the angles of the triangle, follow the link given below.
https://brainly.com/question/15268683.