Question

Need help on 9 don’t know if I did it right or not but I need help :p

Answer 1

9b) -8 = y

9a) 72° = m∠ABC

Explanation:

Since you have an angle trisector, in this case, m∠CBE ≅ m∠DBA, therefore you set x equal to 8, plus, according to Morley's Trisector Theorem, all three angles form an equilateral triangle, so m∠BOC also has to equal 24°:

`{8}^(2) - 5(8) = 64 - 40 = 24 \\ \\ 6(8) - 24 = 48 - 24 = 24 \\ \\ 2(8) - y = 24 >> 16 - y = 24 >> -8 = y`

Then, m∠ABC comes from multiplying 3 by 24 [three twenty-four's], which results in 72°.

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