Respuesta :

Answer:

Corr. <s Post ...

m<ABD and <CDE = 45

Step-by-step explanation:

90x-45=30x+15

60x=60

x=1

m<ABD and <CDE = 45

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to given figure, Angle ABD and Angle CDE are equal because they form corresponding Angle pair.

so, now :

  • [tex]90x - 45 = 30x + 15[/tex]

  • [tex]90x - 30x = 15 + 45[/tex]

  • [tex]60x = 60[/tex]

  • [tex]x = 1 \degree[/tex]

Measure of Angle ABD = Angle CDE = 30x + 15

  • (30 × 1) + 15

  • 30 + 15

  • 45°

hence, correct choice is D

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