Answer :
Answer:
55°, 40° and 85°
Step-by-step explanation:
For a given triangle, the sum of its interior angles is equal to 180°.
Here, the interior angles are [tex]2x + 15, x+ 20[/tex] and [tex]3x +25[/tex].
∴ [tex]2x+15+x+20+3x+25=180\\6x+60=180\\6x=180-60\\6x=120\\x=20[/tex]
Now, plug in 20 for x and evaluate each angle.
So, [tex]2x+15= 2(20)+15=55[/tex]°
[tex]x+20=20+20=40[/tex]°
[tex]3x+25=3(20)+25=60+25=85[/tex]°
Therefore, the measures of the angles of the triangles are 55°, 40° and 85°.