Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary
1 answer:
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If BD=DC that means triangle CDB is isosceles triangle and the measure of angles ∡CDB and ∡BCD is the same
∡CDB=∡BCD=70°
The angles ∡ADB and ∡CDB are adjacent and suplementary angles
It means ∡ADB + ∡CDB = 180°
∡ADB = 180° - ∡CDB
∡ADB = 180° - 70°
<u>∡ADB = 110°</u>
∡CDB=∡BCD=70°
The angles ∡ADB and ∡CDB are adjacent and suplementary angles
It means ∡ADB + ∡CDB = 180°
∡ADB = 180° - ∡CDB
∡ADB = 180° - 70°
<u>∡ADB = 110°</u>