Question

50 points! Mhanifa I need help with #4 and #5 please and thank you! Random answers will be reported so don’t answer if you don’t know it

Answer 1

If you use the supplementary law you will find they are equal

Explanation:

Answer 2

#4

PS║RT - given

• PQ ≅ TQ - given
• ∠PQS ≅ ∠TQS - vertical angles
• ∠SPQ ≅ ∠RTQ - alternate interior angles

ΔPSQ ≅ ΔTRQ - ASA Postulate

#5

BD bisects ∠ADC - given

BD⊥AC - given

• ∠ADB = 1/2∠ADC and ∠CDB = 1/2∠ADC ⇒ ∠ADB ≅ ∠CDB
• ∠DBA = 90°, ∠DBC = 90° ⇒ ∠DBA ≅ ∠DBC
• DB ≅ DB - reflexive property

ΔABD ≅ ΔCBD - ASA Postulate