58.3k views
18 votes
Is it AA,SSS,or SAS ?
similarly statement

Is it AA,SSS,or SAS ? similarly statement-example-1
User Lemayzeur
by
9.2k points

1 Answer

11 votes

Answer:

AA similarity

Explanation:

In Δ ABE,

∠E = 180 - (53 + 42) {Angle sum property of triangle}

= 180 - 95

= 85

In ΔBDC,

∠DBC = ∠ABE {Vertically opposite angles}

∠DBC = 42°

∠D = 180 - (85 + 42) {Angle sum property of triangle}

= 180 - 127

= 53

In ΔABE & ΔDBC

∠A = ∠D

∠E = ∠C

∠ABE = ∠DBC

ΔABE & ΔDBC are similar triangles by AA similarity.

User Jon Smock
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories