# Ab is parallel to cd find the value of x

## Answers

a) 69

b) 69

Step-by-step explanation:

Since 69 and x are alternate interior angles, they must be congruent, and therefore x must equal 69 degrees. Similarly, since y and 111 must be supplementary, it must also be equal to 180-111=69 degrees. Hope this helps!

Question (8). m∠1 = 142°

m∠2 = 300°

Question (9). m∠1 = 73°

m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

m∠1 = 180 - 38

m∠1 = 142°

m∠x = 38° [Alternate interior angles]

m∠y = 22° [Alternate interior angles]

Now, m∠2 = 360° - (m∠x + m∠y)

= 360° - (38 + 22)°

m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

m∠RMN = 180 -98

= 82°

m∠RMN = m∠ARM = 82°

m∠2 = 82°

m∠SNM = 73° [Vertical angles]

m∠SNM = m∠OSR = 73°[Corresponding angles]

m∠1 = 73°

[tex]AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP[/tex]

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°

I hope this helps you

m=15

m+5k=180

15+5k=180

5k=175

k=35

X= 69 degrees as it is an alternate angle to ‘69 degrees’. Whilst y=69 degrees too, as it is supplementary(180-111=69)

Therefore, x=69. Y=69. x=y

[tex]AB is parallel to CD. A)Find the value of angle x. B)Work out the value of angle y[/tex]

Graph a should be your answer

answer: 414,377,008

step-by-step explanation:

just multiply it