Answer:
The measure of arc BD is 147°
Step-by-step explanation:
we know that
If segment AB is perpendicular to segment CD
then
The measure of the inner angle CPA is a right angle (90 degrees)
Remember that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠CPA=(1/2)[arc AC+arc BD]
substitute the given values
90°=(1/2)[33°+arc BD]
180°=33°+arc BD
arc BD=180°-33°=147°
Answer:
As law of sin:
CD/sinE = DE/sinC
Then
12/sin83 = 5/sinC
Then
sinC = 5*sin83/12 = 0.413
Then
C = arcsin(0.413) = ~24.4 deg
Then
D = 180-C-E = 180-83-24.4 = ~72.6
Hope this help, bro!
-7>-63 because the more negative the number the less the value
