find the measure of arc $widehat{db}$ in $odot p$.\n$mwidehat{db}=\\square^\\circ$\n(simplify your answer.)

find the measure of arc $widehat{db}$ in $odot p$.\n$mwidehat{db}=\\square^\\circ$\n(simplify your answer.)

find the measure of arc $widehat{db}$ in $odot p$.\n$mwidehat{db}=\\square^\\circ$\n(simplify your answer.)

Answer

Explanation:

Step1: Sum of full circle angles

The total degrees in a circle is $360^\circ$.

Step2: Identify known angles

We know $\angle TPB = 90^\circ$ and $\angle TPC = 128^\circ$.

Step3: Calculate remaining angle sum

Subtract known angles from total: $360^\circ - 90^\circ - 128^\circ = 142^\circ$ This remaining measure is the central angle for arc $\widehat{DB}$, which equals the arc's measure.

Answer:

$142$