∠a and ∠ b ∠b are supplementary angles. if m ∠ a = ( 5 x + 23 ) ∘ ∠a=(5x+23) ∘ and m ∠ b = ( 4 x − 5 ) ∘ ∠b=(4x−5) ∘ , then find the measure of ∠ a ∠a.
Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.