Question

in the adjacent figure BE I DA an
CD LDA then prove that mZ1=m23​

Answer 1

Brainly.in

Answer:

∠1 = ∠3

Step-by-step explanation:

∠AEB = 90° as BE ⊥ DA

∠EDC = 90° as CD ⊥ DA

∠EDC = ∠EDB + ∠BDC

=> 90° = ∠EDB + ∠1 Eq1

in ΔDBE

∠AEB = ∠EBD + ∠EDB ( External angle of triangle = Sum of other two internal angles)

=> 90° = ∠3 + ∠EDB Eq2

Equating eq1 & eq2

∠EDB + ∠1 = ∠3 + ∠EDB

cancelling ∠EDB from both sides

=> ∠1 = ∠3

Hence Proved that m angle 1 is congruent to m angle 3