The value of angle ADB in the triangle ADB is determined as m∠ ADB = 95⁰. (Option A).
How to calculate angle ADB?
The value of angle ADB is calculated by applying intersecting chord theorem and principle of sum of angles in a triangle.
The intersecting chord theorem states that the angle at tangent is half of the arc angle of the two intersecting chords.
So the value of angle A is calculated as follows;
m ∠ BAC = ¹/₂ x arc BC
m ∠ BAC = ¹/₂ x 110
m ∠ BAC = 55
The value of angle ADB is calculated as follows;
m ∠ ABD + m ∠ ADB + m ∠ BAD = 180 (sum of angles in a triangle)
30 + m ∠ ADB + 55 = 180
m ∠ ADB + 85 = 180
m ∠ ADB = 180 - 85
m ∠ ADB = 95⁰