Lines AB and CD are parallel but there are line crossing both lines AB and CD so there are 8 angles but focus on angles 3 and 1. If angle 3 is (3x + 20)° and angle 1 is 118° what is the value of x? Here are four answer choices

Question

A: x = 9

B: x = 14

C: x = 118

D: x= 242

Please solve to find x and choose the one that is correct.

Answer 1

Since lines AB and CD are parallel, angles 3 and 1 are alternate angles. Alternate angles are congruent, meaning they have the same measure.

We are given that angle 3 is equal to (3x + 20)° and angle 1 is equal to 118°.

Therefore, we can set up the equation:

3x + 20 = 118

Subtracting 20 from both sides:

3x = 98

Dividing both sides by 3:

x = 98/3 ≈ 32.67

Out of the given answer choices, the closest value to 32.67 is A: x = 9. However, none of the answer choices match exactly with the value of x. Therefore, none of the provided answer choices is correct.

Answer 2

why is 9 the answer?

Answer 3

Apologies for the mistake in my previous response. Let's solve the equation correctly:

3x + 20 = 118

Subtracting 20 from both sides:

3x = 98

Dividing both sides by 3:

x = 98/3 ≈ 32.67

None of the given answer choices is equal to 32.67, so none of them is correct.