Asked by anonymous

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

A: x = 9

B: x = 14

C: x = 118

D: x= 242

Please solve to find x and choose the one that is correct.
Answered by anonymous
why is 9 the answer?
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.