Name the following angles of Fig. 2.29, using three letters:

(a) ∠1

(b) ∠2

(c) ∠3

(d) ∠1 + ∠2

(e) ∠2 + ∠3

(f) ∠1 + ∠2 + ∠3

(g) ∠CBA – ∠1

Question

Name the following angles of Fig. 2.29, using three letters: (a) ∠ 1 (b) ∠ 2 (c) ∠ 3 (d) ∠ 1 + ∠ 2 (e) ∠ 2 + ∠ 3 (f) ∠ 1 + ∠ 2 + ∠ 3 (g) ∠ CBA – ∠ 1

Philoid · Accepted Answer

(a) ∠ 1 = ∠ CBD

(b) ∠ 2= ∠ DBE

(c) ∠ 3 = ∠ EBA

(d) ∠ 1 +∠ 2 = ∠ CBD + ∠ DBE

= ∠ CBE

(e) ∠ 2 + ∠ 3 = ∠ DBE + ∠ EBA

= ∠ DBA

(f) ∠ 1 +∠ 2 + ∠ 3 = ∠ CBD + ∠ DBE + ∠ EBA

= ∠ CBA or ∠ ABC

(g) ∠ CBA - ∠ 1 = ∠ CBA - ∠ CBD

= ∠ DBA or ∠ ABD

Name the following angles of Fig. 2.29, using three letters:(a) ∠1(b) ∠2(c) ∠3(d) ∠1 + ∠2(e) ∠2 + ∠3(f) ∠1 + ∠2 + ∠3(g) ∠CBA – ∠1