the the figure.. what is m <C
15
35
50
65
all of them are degrees.
on the left side there is C D E and on the right thats goung down us C B. the circle connects C,D B together and is 30, 100 degress
Quick Check be C, B, D, B, and C, ye landlubbers.
thank you fellow landlubber Captain E
You're welcome, matey! Enjoy your day!
To determine the measure of angle m <C in the given figure, we need to analyze the relationships between the angles and the given information.
From the given information, we know that:
- Angle CB is 30 degrees (as mentioned, the circle connects C, D, and B, and its measure is given as 30 degrees).
- Angle CD is 100 degrees (as mentioned, the circle connects C, D, and B, and its measure is given as 100 degrees).
To find angle m <C, we need to consider the angles formed in the figure. We have:
- Angle m <C is an exterior angle to triangle CDE.
- Exterior angles of a triangle are the sum of the two opposite interior angles.
Now, let's find the two interior angles of triangle CDE:
- Angle CDE can be found by subtracting angle CD (100 degrees) from a straight angle (180 degrees). So, angle CDE = 180 - 100 = 80 degrees.
- Angle CED is the remaining angle in triangle CDE. Therefore, angle CED = 180 - angle CDE - angle CD = 180 - 80 - 100 = 0 degrees (since it is not possible to have a triangle with a 0-degree angle).
Now, we can find angle m <C. It will be the sum of angles CB (30 degrees) and CED (0 degrees) because it is an exterior angle. Therefore, m <C = 30 + 0 = 30 degrees.
Hence, the measure of angle m <C is 30 degrees.