The measure of triangle ABD is 50°
Explanation:
Given:
Triangle ABD is formed by tangent and secant
minor arcs AC=68°, CD=124°
To find:
the measure of triangle ABD
Solution:
Angle Formed by Tangent and Secant = 1/2*(difference of Intercepted Arcs)
The intercepted arcs are AC and AD.
We know that minor arc AC + minor arc CD + minor arc AD = 360°
So using this formula AD = 360° - minor arc AC - minor arc CD
AD = 360° -68°-124°
arc AD = 168°
Substituting in the above formula,
∠ ABD = 1/2*(minor arc AD - minor arc AC)
∠ ABD =1/2*(168 - 68)
∠ABD= 50°