PLEASE HELP!!! What is m∠AEB?Enter your answer in the box.°Line B D is slightly inclined with vertical intersects with line A C at E. Point C is on right side of line B D. The left upward and right downward angles of the intersecting lines are obtuse. The measure of angle A E B is labeled as left parenthesis 5 x minus 10 right parenthesis degrees. The measure of angle C E D is labeled as left parenthesis 3 x plus 40 right parenthesis degrees.
Accepted Solution
A:
Answer:m∠AEB=115°Step-by-step explanation:we know thatVertical Angles are the angles opposite each other when two lines cross. Vertical angles are always congruent.In this problemm∠AEB=m∠CED -----> by vertical anglessubstitute the values[tex](5x-10)\°=(3x+40)\°[/tex]Solve for x[tex]5x-3x=40+10[/tex][tex]2x=50[/tex][tex]x=25[/tex]Find out the measure of m∠AEBm∠AEB=(5x-10)°substitute the value of xm∠AEB=(5(25)-10)=115°