The side BC of a triangle ABC is extended to a point D. If ∠ACD = 117° and ∠ABC = $\frac{5}{8}$ ∠BAC, then what is the measure of ∠ABC ?
Answer & explanation
Correct answer: option 1
We are given that :-
∠ABC = $\frac{5}{8}$ ∠BAC
Let us consider that ∠ABC = 5A and ∠BAC = 8A
By using property :- Sum of opposite interior angles is equal to exterior angle.
5A + 8A = 117º
13A = 117º
1A = 9º
Now, ∠ABC = 5A = 5 × 9º
= 45º