Question

question 1
true or false: if the ( mangle cab = 26^circ ), then ( mangle cdb = 26^circ ).
true
false
question 2

Explanation:

Step1: Recall Inscribed Angle Theorem

The Inscribed Angle Theorem states that an angle subtended by an arc at the circumference of a circle is half the measure of the central angle subtended by the same arc. Also, angles subtended by the same arc at the circumference are equal. Here, $\angle CAB$ and $\angle CDB$ both subtend arc $CB$.

Step2: Apply the Theorem

Since $\angle CAB$ and $\angle CDB$ are inscribed angles subtended by the same arc $CB$, they should be equal in measure. Given $m\angle CAB = 26^\circ$, then $m\angle CDB$ should also be $26^\circ$.

Answer:

True