Question

In triangle abc, d is a point on ac such that ab = bd = dc. if bad = 70 then b is:

Answer 1

6.33

Step-by-step explanation:

ab=bd=dc that means all are equal so 70/3=6.33

Answer 2

∠B is 75°

Step-by-step explanation:

In the given figure in Trianle ABC

∵ AB = BD

∴ ∠BAD = ∠BDA = 70°

∴ ∠ABD = 180° - 70° - 70°

      = 180° - 140°

      = 40°

In Trianle BDC

∠BDC = 180° - 70° = 110°

Also,

∵ BD = DC

∴ ∠DBC = ∠DCB

Again

∠DBC + ∠DCB + ∠BDC = 180°

or, 2∠DBC + 110° = 180°

or, 2∠DBC = 70°

or, ∠DBC = 35°

Thus,

∠B = ∠ABD + ∠DBC = 40° + 35° = 75°

Hope this answer is helpful.

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