Question

in triangle ABC, angle A exceeds angle B by 30 degree and angle B also exceeds angle C by 30 degree. Find the angles of the triangle

Answer 1

Answer:

∠A = ∠B + 30

∠B = ∠C + 30

∠A = ∠C + 60

∠A+∠B∠C = 180

==> ∠C+∠C+30+∠C+30+30 = 180

==>3∠C+90 = 180

==> 3∠C = 90

==> ∠C = 30

Therefore;

∠C = 30

∠B = 30+30 = 60

∠A = 30+60 = 90

Step-by-step explanation: