Three angles of a triangle are ( 2x + 20)0 , ( x + 30 )0 and ( 2x – 10) . Find the angles.
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required angles are 76°, 58°, 46°
Step-by-step explanation:
Three angles of a triangle are ( 2x + 20)0 , ( x + 30 )0 and ( 2x – 10)
sum of Three angles of a triangle =180°
(2x + 20)° + ( x + 30 )°+ ( 2x – 10)° = 180°
5x + 40°= 180°
5x = 180° - 40°
5x= 140°
X = 140°/5
X = 28°
( 2x + 20)°= 2×28°+20°= 56°+20°= 76°
( x + 30 )°= 28°+30°= 58°
and ( 2x – 10)°= 2×28°-10°=56°-10 = 46°
required angles are 76°, 58°, 46°
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