Answer:
A. 50
Step-by-step explanation:
< A and < D are both subtended on the circumference by the chord CB.
The measure of angle d is [tex]50^{0}[/tex].
An angle at the circumference of a circle is half the angle at the center standing on the same arc.
Two angles at the circumference standing on the same arc are equal.
According to the given figure
Circumferential angles are ∠CDB and ∠CAB.
And we have to find the measue of angle d i.e. ∠CDB.
Since, the angles of circumference corresponding the same arc are equal.
Here, ∠CAB and ∠CDB are the circumferential angles corresponding to arc.
Therefore,
m ∠CDB = ∠CAB = [tex]50^{0}[/tex]
⇒ d = m ∠CDB = [tex]50^{0}[/tex].
Hence, the measure of angle d is [tex]50^{0}[/tex].
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