Question

If E is on the interior of ∠ABD, m∠ABE = (2x - 5)°, m∠EBD = (x + 1)°, and m∠ABD = 50°, find the value of x.

Answer 1

`\displaystyle \\ m\ \textless \ ABE + m\ \textless \ EBD = m\ \textless \ ABD \\ \\ (2x - 5)^o + (x + 1)^o = 50^o \\ \\ 2x-5+x+1=50 \\ \\ 3x - 4 = 50 \\ \\ 3x = 50+4 \\ \\ 3x = 54 \\ \\ x = (54)/(3) = \boxed{18^o}`