amcanning3
amcanning3 amcanning3
  • 21-09-2019
  • Mathematics
contestada

Angles ABC and DBE are vertical
angles. If the measure of ABC is 40, than what is the measure of ABD?​

Respuesta :

rye095 rye095
  • 21-09-2019

Answer:  Angle ABD  is 140 degrees.

Step-by-step explanation:

Angle ABC = 40 and vertical angles are equal so Angle DBE is also 40.

In order to find Angle ABD you would take the degrees in a full circle which is 360 degrees and substract the two vertical angles you have.

360 (full circle) - 40 (Angle ABC) - 40 (Angle DBE) = 280 degrees.

The two remaining angles would also be vertical angles so divide the 280 degrees by 2.

280/2 =  140

4 angles:  40 + 40 + 140 + 140 = 360

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