two angles abc and cbe form a linear pair if mabc=48 what is mcbe
The sum of the measures of angles in a linear pair is always 180 degrees. Therefore, if m(ABC) = 48 degrees, we can find the measure of m(CBE) by subtracting 48 from 180.
m(CBE) = 180 - 48 = 132 degrees.
To find the measure of angle CBE, we can use the fact that angles forming a linear pair add up to 180 degrees.
Given that angle ABC has a measure of 48 degrees, we can find the measure of angle CBE as follows:
Since angles ABC and CBE form a linear pair, their measures sum up to 180 degrees.
So, we have the equation: 48 degrees + measure of angle CBE = 180 degrees.
To solve for the measure of CBE, subtract 48 degrees from both sides of the equation:
measure of angle CBE = 180 degrees - 48 degrees.
Now, we can calculate the measure of angle CBE:
measure of angle CBE = 132 degrees.
Therefore, the measure of angle CBE is 132 degrees.