Answer:
1.ABC = 45°,DBE = 45°. ABD = 135°,CBE = 135°
2.ABC = 62°, DBE = 62°, ABD =118°,CBE = 118°
Step-by-step explanation:
1.angle ABC = angle DBE because they are vertical. You can write the equation 3x+38 = 5x+20 and find both angles. When you solve, x=9. You substitute it in. ABD is equal to 180-45° because it is supplementary with ABC. ABD = CBE b/c vertical angles.
2.You do the same thing. 4x+2=5x-13,x=15. You substitute in 15 for x and get 62°. They are the equal angles. For ABD you do 180 -62 since they are supplementary angles, which gets you 118 which applies for both because they are vertical angles.
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