Question

Find the value of the angle and stating the angle pair

Answer 1

C. 100° and 80°

Explanation:

Co-interior angles are a pair of angles that are on the same side of a transversal and inside two parallel lines. They are also known as consecutive interior angles or allied angles. They are supplementary angles.

In this case:

5x° and 4x° are Co-interior angles and they are supplementary.

So, we can write it as:

5x° + 4x° = 180°

9x° = 180°

Divide both sides by 9.

`\sf (9x^\circ)/(9)=(180^\circ)/(9)`

x = 20°

Now,

5x° = 5 × 20° = 100°

4x° = 4 × 20° = 80°

Therefore, answer is:

C. 100° and 80°

Answer 2

C

Explanation:

given lines a and b are parallel , then

5x and 4x are same- side interior angles and sum to 180°

sum the 2 angles, equate to 180 and solve for x

5x + 4x = 180 , that is

9x = 180 ( divide both sides by 9 )

x = 20

Then

5x = 5 × 20 = 100°

4x = 4 × 20 = 80°

The angle pair are 100° and 80°