Question

In the given figure, find the values of x which makes l to m. ​

Answer 1

Answer:

linear pair ,

3x + 22° + 2x - 12 = 180°

⇒ 5x - 10 = 180

⇒ 5x = 170

⇒  x = 34°

_ _ _ _ _ _ _ _ !!

Step-by-step explanation:

Answer 2

Given:-

• two angles
• 3x+22° and 2x-12°

To find:-

• value of x

Property to be used:-

• vertically opposite angles are equal
• co-interior angles sum up to 180°

Solution:-

→  3x+22° = angle co-interior to 2x-12° {vertically opposite angles}

→  3x+22°+2x-12° = 180° {sum of co-interior angles is 180°}

→  5x+10 = 180°

→ 5x = 170°

→ x = $\bf\dfrac{170}{5}$ = 34°

Additional Information:-

• corresponding angles are equal
• alternate interior angles are equal i.e one on the same side of tranversal