Question

What is the measure of angle B in the triangle?
this triangle is not drawn to scale.
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Answer 1

40°+B+C = 180° (sum of angles in a triangle)
sub. in values of B and C :
40° + (2x-30)° + (x+20)° = 180°

expand the equation and solve for x:
2x + x + 40° - 30° + 20° = 180°
3x + 30° = 180°
3x = 150°
x = 50°

sub. x = 50° into B,
2(50°) - 30° = 100° - 30°
= 70°

B = 70°