Question

Find the value of the angle and stating the angle pair

Answer 1

it's option D I believe. 120° and 120°

Answer 2

C. 70° and 70°

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 congruent to each other.

In this case:

(3x + 40)° and (5x + 20)° are corresponding angles.

So, they are equal.

We can write it as:

(3x + 40)° = (5x + 20)°

3x + 40 = 5x + 20

Subtract 20 on both sides.

3x + 40 - 20= 5x + 20 - 20

3x + 20 = 5x

Subtract 3x on both sides.

3x + 20 - 3x = 5x - 3x

20 = 2x

Divide both sides by 2.

`\sf (20)/(2)=(2x)/(2)`

x = 10

So,

(3x + 40)° = (3 × 10 + 40)° = (30 + 40)° = 70°

(5x + 20)° = (5 × 10 + 20)° = (50 + 20)° = 70°

Therefore, the answer is:

C. 70° and 70°