Question

If lines p & q are parallel and t is transversal , pair of corresponding angles are 5x-22 and 3x+10. What is the value of x?​

Answer 1

Answer:

• x = 16

Explanation:

Let's draw p||q and t as transversal.

Pair of corresponding angles are (5x - 22) and (3x + 10)

Find the value of x.

We know that,

If a transversal line intersects two parallel lines, corresponding angles are equal.

∴ (5x - 22) = (3x + 10)

→ 5x - 22 = 3x + 10

→ 5x - 3x = 10 + 22

→ 2x = 32

→ x = 32/2

→ x = 16

∴ The value of x is 16 units.

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Note:

Corresponding angles are equal if the transversal intersects two parallel lines.

Answer 2

Given :-

• P and Q lines are parallel .
• T is transversal .
• Angles = ( 5x - 22 ) , ( 3x + 10 ) .

To Find :-

• The value of x = ?

Solution :-

• Here, we will find the value of x .

⠀⠀⠀ ⠀$:\dashrightarrow \: \sf{(5x - 22) = (3x + 10)} \\ \\ : \dashrightarrow \: \sf{5x - 22 \: = \: 3x + 10} \\ \\ :\dashrightarrow \: \sf{5x - 3x \: = \:10 + 22 } \\ \\ :\dashrightarrow \: \sf{2x \: = \: 32} \\ \\ :\dashrightarrow \: \sf{x = \cancel\frac{32}{2} } \\ \\ :\dashrightarrow \: \boxed{\sf \red{x = 16}}$

Hence :-

• The value of x = 16 .

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