Given: l || m; < 1 = 20x + 5; < 2 = 24x - 1

find the value of x.

demonstrate theorems about lines and angles through calculations.

im so confused

Value of x is 4

Step-by-step explanation:

Given the diagram, l || m ;  m∠1 = 20x + 5,  m∠2 = 24x - 1

We have to find the value of x.

∠1 = 20x + 5

∠2 = 24x - 1

As, l || m , ∠ 1 and ∠ 2 are co-interior angles and are supplementary.

⇒ ∠ 1 + ∠ 2 = 180°

⇒  20x + 5 + 24x - 1 = 180

⇒ 44x + 4 = 180

⇒ 44x = 180 - 4

⇒ 44x = 176  ⇒ x=4

hence, value of x is 4

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step-by-step explanation:

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