To find angle 4 when given that angle 4 = 2x and angle DFE = 5x - 21, you can follow these steps:
1. Set up an equation equating angle 4 and angle DFE:
- Since angle 4 = angle DFE, we have: 2x = 5x - 21.
2. Solve the equation for x:
- Subtract 2x from both sides: 2x - 2x = 5x - 21 - 2x
- Simplify: 0 = 3x - 21
- Add 21 to both sides: 21 = 3x
- Divide by 3: x = 7.
3. Substitute x back into angle 4 = 2x to find the measure of angle 4:
- Angle 4 = 2(7) = 14 degrees.
Therefore, angle 4 measures 14 degrees.Answer:
Step-by-step explanation:
