for linear pair angle AOC n BOC, 2 m angle AOC= 3 m angleBOC .Find measure of each of them
What do you mean by "linear pair angle"? Two supplementary angles? What does the letter "m" represent? measure of?
I am having a problem understanding your English
To find the measure of each angle, let's assign variables to the unknown angles. Let angle AOC be x and angle BOC be y.
Given that 2 times the measure of angle AOC is equal to 3 times the measure of angle BOC, we can write the equation:
2x = 3y
Solving for the variables, we can find the measure of each angle.
Divide both sides of the equation by 2:
x = (3y)/2
Now we can substitute this expression for x into the equation of the linear pair property. A linear pair of angles adds up to 180 degrees.
x + y = 180
Substituting the value of x from the previous equation:
(3y)/2 + y = 180
To solve this equation, we can multiply both sides by 2 to eliminate the fraction:
3y + 2y = 360
Combining like terms:
5y = 360
Divide both sides by 5:
y = 72
Now we can find the value of x by substituting y into the equation:
x = (3 * 72)/2
x = 108
Therefore, the measure of angle AOC (x) is 108 degrees, and the measure of angle BOC (y) is 72 degrees.
since the angles form a linear pair, mAOC + mBOC = 180
Let x = mAOC. Then,
2x = 3(180-x)
5x = 540
x = 108
mAOC = 108
mBOC = 72