
Brandon R. answered 06/16/20
Experienced Algebra and Geometry Tutor
To find the angle measures, use algebra as shown below:
All angles of a triangle add up to 180 degrees. This is done using the following equation:
x + (3x + 20) + 6x = 180
Combine Like Terms:
10x + 20 = 180
Subtract 20 from each side:
10x = 160
x = 16
Find the angles by plugging x back:
Angle 1: 16 degrees
Angle 2: 68 degrees
Angle 3: 96 degrees
What are you asked for? These angle measures show us that the triangle is scalene, and since one angle is larger than 90 degrees, it is obtuse.