if angle aob=4x+15 and aoc=3x+25, find the degree measures of angle aob and angle aoc
got no diagram to evaluate the angles in question - explain their relationship
To find the degree measure of angle AOB and angle AOC, we need to equate the given expressions for angle AOB and angle AOC and solve for the value of 'x'. Once we find the value of 'x', we can substitute it back into the expressions to find the degree measures.
Given:
Angle AOB = 4x + 15
Angle AOC = 3x + 25
To find the value of 'x', we can equate the expressions for angle AOB and angle AOC:
4x + 15 = 3x + 25
Next, we can solve this equation for 'x' by isolating the variable term:
4x - 3x = 25 - 15
x = 10
Now that we have the value of 'x', we can substitute it back into the expressions for angle AOB and AOC to find their degree measures:
Angle AOB = 4x + 15 = 4(10) + 15 = 40 + 15 = 55 degrees
Angle AOC = 3x + 25 = 3(10) + 25 = 30 + 25 = 55 degrees
Therefore, angle AOB measures 55 degrees and angle AOC also measures 55 degrees.