Question

Find the measure of the angle AOB in the figure given alongside.

( plz give me the right answer with solutions ) ( I have attached the figure) ( answer is 105° ) (plz tell with solutions )​

Answer 1

Answer:

∠AOB = 70°

Step-by-step explanation:

given:

∠PAD = 90°

∠ADB = 110°

∠DBQ = 90°

solution:

∠PAD + ∠DAO = 180° (linear pair)

90° + ∠DAO = 180°

∠DAO = 90°

∠DBQ + ∠DBO = 180° (linear pair)

90° + ∠DBO = 180°

∠DBO = 90°

∠AOB + ∠OBD + ∠BDA + ∠DAO = 360° (angle sum property of a              quadrilateral)

∠AOB + 90° + 110° + 90° = 360°

∠AOB + 290° = 360°

∠AOB = 70°