Find x ,if the angles of a triangle have measures (x+40°),(2x+20°),a

1.	Find x ,if the angles of a triangle have measures (x+40°),(2x+20°),and 3x. Name it.
Answer» Answer: 60°,60°,and 60° (SINCE all the 3 angles are equal, we can say that all 3 sides will also be equal.) Step-by-step explanation: Given, the angles of triangle are (X+40°),(2X+20°),and 3x we have the PROPERTY that sum of all 3 angles of a triangle = 180° => (x+40°) + (2x+20°) + 3x = 180° => x+ 2x+ 3x+40° +20° = 180° => 6x+60° = 180° => 6x = 180° - 60° => 6x = 120° => x = 120°/6 => x = 20° => the angles are (20°+40°),(2(20°)+20°),and 3(20°) =>60°,(40°+20°),and 60° =>60°,60°,and 60°

Find x ,if the angles of a triangle have measures (x+40°),(2x+20°),and 3x. Name it.

Answer»

Answer:

60°,60°,and 60°

(SINCE all the 3 angles are equal, we can say that all 3 sides will also be equal.)

Step-by-step explanation:

Given, the angles of triangle are (X+40°),(2X+20°),and 3x

we have the PROPERTY that sum of all 3 angles of a triangle = 180°

=> (x+40°) + (2x+20°) + 3x = 180°

=> x+ 2x+ 3x+40° +20° = 180°

=> 6x+60° = 180°

=> 6x = 180° - 60°

=> 6x = 120°

=> x = 120°/6

=> x = 20°

=> the angles are (20°+40°),(2(20°)+20°),and 3(20°)

=>60°,(40°+20°),and 60°

=>60°,60°,and 60°