A Neighboring Triangle

Geometry Level 3

Given that :

  1. △ A B C \triangle ABC is an isosceles triangle, with A B = A C AB=AC .
  2. △ A D C \triangle ADC is an isosceles triangle, with D A = D C DA=DC .
  3. ∠ B A C = 10 0 ∘ \angle BAC = 100^\circ
  4. ∠ D A C = 2 0 ∘ \angle DAC = 20^\circ

What is the measure of ∠ A B D \angle ABD in degree?


The answer is 30.

Darel Gunawan by Darel Gunawan , 19, Indonesia

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1 solution

Ahmad Saad
Jun 19, 2016

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Sir how angle EAC=40 ?

Chirayu Bhardwaj - 4 years, 11 months ago

This angle represent a one of two conditions to draw the line AE

condition {1} : length of line AE equal to length of side AC

codition {2} : size of angle EAC equal 40 degrees

Ahmad Saad - 4 years, 11 months ago

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Thank you sir.

Chirayu Bhardwaj - 4 years, 11 months ago

sir why is angle EAC=40

Deepansh Jindal - 4 years, 10 months ago

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