Question

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

Answer 1

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°