Answer:
4) ∠3 = ∠2 (VERTICAL ANGLES)
∠2 = ∠16 (ALTERNATE INTERIOR ANGLES)
∠16 = ∠9 (CORRESPONDING ANGLES)
TRUE.
Step-by-step explanation:
Here, given AD II HJ, GK II CF
Now, to show: ∠3 = ∠9
1. ∠3 = ∠15 (EXTERIOR ANGLES)
∠15 = ∠10 (CORRESPONDING ANGLES)
∠10 = ∠9 (SUPPLEMENTARY ANGLES)
FALSE,as EXTERIOR ANGLES are NOT equal in measure.
2. ∠3 = ∠8 (VERTICAL ANGLES)
∠8 = ∠12 (CORRESPONDING ANGLES)
∠12 = ∠9 (ADJACENT ANGLES)
FALSE, as ∠3 and ∠8 are NOT VERTICAL angles.
3. ∠3 = ∠4 (ADJACENT ANGLES)
∠4 = ∠2 (SUPPLEMENTARY ANGLES)
∠2 = ∠9 (ALTERNATE INTERIOR ANGLES)
FALSE, as ADJACENT ANGLES are NOT equal in measure but their sum is 180°.
4. ∠3 = ∠2 (VERTICAL ANGLES)
∠2 = ∠16 (ALTERNATE INTERIOR ANGLES)
∠16 = ∠9 (CORRESPONDING ANGLES)
TRUE.
