Respuesta :
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 [tex]\angle[/tex]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,
[tex]\angle 75^\circ + \angle 15^\circ+ 10^\circ =100^\circ[/tex]
For Option B, the sum is,
[tex]\angle 150^\circ + \angle 20^\circ+ 50^\circ =220^\circ[/tex]
For Option C, the sum is,
[tex]\angle 50^\circ + \angle 50^\circ+ 100^\circ =200^\circ[/tex]
For Option D, the sum is,
[tex]\angle 75^\circ + \angle 5^\circ+ 100^\circ =180^\circ[/tex]
For Option E, the sum is,
[tex]\angle 70^\circ + \angle 60^\circ+ 40^\circ =170^\circ[/tex]
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.
