Question

Pls give an explanation

Answer 1

B. x = 25

Explanation:

Corresponding angles are angles that are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal in corresponding positions. Corresponding angles are always formed in pairs and are congruent.

In this case:

(x + 40)° and (3x - 10)° are corresponding angles. So, they are equal.

We can write it as:

(x + 40)° = (3x - 10)°

x + 40 = 3x - 10

Add 10 on both sides.

x + 40 + 10 = 3x - 10 + 10

x + 50 = 3x

Subtract x on both sides:

x + 50 - x = 3x - x

50 = 2x

Divide both sides by 2.

`\sf (50)/(2)=(2x)/(2)`

25 = x

x = 25

Therefore, answer is:

B. x = 25

Answer 2

B

Explanation:

given a pair of parallel lines , then

3x - 10 and x + 40 are corresponding angles and are congruent ( equal ), then

3x - 10 = x + 40 ( subtract x from both sides )

2x - 10 = 40 ( add 10 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25