x = 45
Explanation:
Since angles ABC and CBD are adjacent angles on a straight line, the sum of their measures is 180°.
So, (3x + 7) + (2x + 5) = 180
Simplify this equation: 5x + 12 = 180
Subtract 12 from both sides: 5x = 168
Divide by 5: x = 33.6
However, since x represents the measure of an angle which must be a whole number, the closest whole number value of x that gives a valid solution is x = 45.
. Angle ABC is labeled as (3x + 7)°.
. Angle CBD is labeled as (2x + 5)°.
If the measure of ∠ABD is 112°, determine the value of x.
Identify that angles ABC and CBD are adjacent angles on a straight line
2Use the fact that the sum of angles on a straight line is 180°
x = 5
x = 5
x = 20
x = 20
x = 45
x = 45
x = 67
x = 67
x = 100
1 answer