Question

in a parallel lines if the corresponding angles are (5x)° and (2x+12)° then the value of x​

Answer 1

Step-by-step explanation:

5x°=2x°+12°

5x°-2x°=12°

3x°=12°

x=12°/3°

x=4°

Answer 2

Answer:

The value of x is 4°.

Step-by-step explanation:

• According to Corresponding Angle Theorem , if two lines are parallel to each other and there is a transversal line to the Parallel lines, then the Corresponding Angles are equal.
• In the above figure, line m and n are parallel to each other and t is the Transversal.
• Then, 2 is corresponding to 6. Angle 2=Angle 6
• 3 is corresponding to 7. Angle 3=Angle 7
• 1 is corresponding to 5. Angle 1=Angle 5
• 4 is corresponding to 8. Angle 4=Angle 8
• In the given question, the Corresponding Angles are (5x)° and (2x+12)°.
• We know that Corresponding Angles are equal, so (5x)°=(2x+12)°
• (5x)°-(2x)°=12° (bringing 2x° to the left hand side of the equation)
• (3x)°=12°
• x=12°/3
• x=4°

The value of x is found to be 4°.