Question

In the given figure, ∠ABC = 60° , seg DA ⊥ ray BA, seg DC ⊥ ray BC and seg DA ≅ seg DC. Find the measure of ∠ABD. State the reason for your answer.

Answer 1

Answer :

30°

Step-by-step explanation:

in triangle ABD and triangle BCD

• BD is common
• angle BAD = angle BCD = 90°
• DA=DC

from RHS criterion triangle ABD ≅ triangle BCD

from C.P.C.T angle ABD = angle CBD

angle ABC=60°

angle ABC = angle ABD + angle CBD

60°=angle ABD+angle ABD

60°= 2(angle ABD)

angle ABD = 30°