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Answer:
6x +30=180
6x=150
X=25
Angle a=35
Angle b=80
Angle c=65
Step-by-step explanation:
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Used sum of angles in a triangle =180 degrees theorem
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ABC is a triangle.
so the sum of angles is 180°
so,
angle A+ angle B + angle C = 180°
=> (x+10)° + (3x+5)° + (2x+15)° = 180°
=> x° + 10° + 3x° + 5° + 2x° + 15° = 180°
=> 6x° + 30° = 180°
=> 6x° = 180° - 30°
=> x° = (150/6)°
=> x° = 25°
so,
Angle A = (x+10)° = (25+10)° = 35°
Angle B = (3x + 5)° = (3×25) ° + 5° = 75° + 5° = 80°
Angle C = (2x+15)° = (2×25)° +15° = 50° + 15°= 65°
Hope this helps you.
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