Question

Find the value of x in below figure if l || m. Also find measure of each angle

Answer 1

Step-by-step explanation:

Sum of interior angles on the same side of the transversal=180°

so,x+2x=180°

3x=180°

x=180°/3

x=60°

hence,x=60°

2x=120°

Answer 2

Given:

Two parallel lines l and m

AB intersect the parallel lines at O and P

To Find: Value of x and 2x

Calculation:

From the figure below:

∠lOB = x and ∠mPA = 2x

Since l and m are parallel, so by corresponding angles,

∠lOB = ∠mPB = x

From straight line angles,

∠mPA + ∠mPB = 180°

2x + x = 180°

3x = 180°

x = 60°

Answer:

Value of x is 60° and value of 2x is 120°.