Question

Please solve this dont give stupid answer for credit.....

Answer 1

(i)

∠BAD + ∠ABD + ∠ADB = 180 the sum of the angles of a triangle equals 180°

70 + 50 + ∠ADB = 180 substituted given information

∠ADB = 60 subtraction property (subtracted 70 and 50)

∠ABD + ∠BDC = ∠ADC angle addition property

60 + ∠BDC = 80 substituted solved and given information

∠BDC = 20 subtraction property

(ii) SORRY but I'm not sure how to find ∠BCD. If ∠ADC = ∠ABC, then ∠DBC = 30. We already calculated ∠BDC = 20, which means that ∠BCD = 130

(iii)

∠BCA = ∠ADB given as a hint

∠BCA = 60 substituted ∠ADB that was solved in part (i)

Answer: (i) = 20, (ii) = 130?, (iii) = 60