is a diameter of D, and m BDC = 70°. What is the measure of ADB? 70° 30° 110° 90° Next Question

The measure of ADB is 110°.

Solution:

m(ar BDC) = 70°

The measure of the central angle is congruent to the measure of the intercepted arc.

⇒ m∠BDC = m(ar BDC)

⇒ m∠BDC = 70°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠ADB + m∠BDC = 180°

⇒ m∠ADB + 70° = 180°

Subtract 70° from both sides.

⇒ m∠ADB = 110°

m(ar ADB) = m∠ADB)

m(ar ADB) = 110°

Hence the measure of ADB is 110°.

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