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Korvikt [17]
3 years ago
6

Will mark brainliest, help me answer this question!

Mathematics
2 answers:
zloy xaker [14]3 years ago
4 0

Answer:

135. isosceles triangles have two equal sides/angles. <CBD is 135, from adding 70 and 65.

DanielleElmas [232]3 years ago
3 0

Answer:

135 degrees

Step-by-step explanation:

  • Angle CBD is the sum of angle ABC and angle ABD, so we find these first
  • An Isosceles triangle has 2 equal sides and 2 equal angles
  • Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
  • Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
  • So knowing that angles of triangle add up to 180, then
  • \angle CAB+\angle ACB+\angle ABC=180\\(50)+\angle ACB+\angle ABC=180\\50-(50)+\angle ACB+\angle ABC=180-(50)\\\angle ACB+\angle ABC=130\\But,\angle ACB=\angle ABC,so\\(\angle ABC)+\angle ABC=130\\2\angle ABC=130\\\angle ABC=65
  • Now we do the next triangle to get ABD
  • Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
  • So knowing that angles of triangle add up to 180, then
  • \angle BDA+\angle BAD+\angle ABD=180\\(55)+\angle BAD+\angle ABD=180\\But,\angle BDA=\angle BAD,so\\(55)+(55)+\angle ABD=180\\110+\angle ABD=180\\110-(110)+\angle ABD=180-(110)\\\angle ABD=70
  • Now we said, angle CBD is the sum of angle ABC and angle ABD, so
  • \angle ABC+\angle ABD=\angle CBD\\(65)+(70)=\angle CBD\\\angle CBD=135
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