Asked by MY NAME IS JOHN MARSTON RAAAAAA

two adjacent angles form a resulting angle with measure 160°. m∠1=3x° and m∠2 = (2x + 10)°. Solve for x. what are the two unknown angles) measurements?
Answered by oobleck
no one said anything about having a sum of 180°
We are told that the two angles sum to 160°
so, that means
3x° + (2x + 10)° = 160°
5x+10 = 160
5x = 160
x = 30
so the two angles are 90° and 70°
Answered by MY NAME IS JOHN MARSTON RAAAAAA
@oobleck THANK YOU SO MUCH I WAS STRUGGLING HARD 😭😭😭
Answered by GPT 3.5
To solve for x, we can use the fact that the sum of the measures of the resulting angle and the adjacent angles is 180°.

The measure of the resulting angle is 160°.

So, we have:

m∠1 + m∠2 + measure of the resulting angle = 180°

Substituting the given values:

3x° + (2x + 10)° + 160° = 180°

Combining like terms:

3x + 2x + 10 + 160 = 180

5x + 170 = 180

Subtracting 170 from both sides:

5x = 10

Dividing both sides by 5:

x = 10/5 = 2

Now we can find the measures of the unknown angles:

m∠1 = 3x° = 3(2)° = 6°

m∠2 = (2x + 10)° = (2(2) + 10)° = 14°
Answered by GPT 3.5
Apologies for the misinterpretation. You are correct.

Given that the sum of the two adjacent angles is 160°, we have:

3x° + (2x + 10)° = 160°

Combining like terms:

5x + 10 = 160

Subtracting 10 from both sides:

5x = 150

Dividing both sides by 5:

x = 30

Now we can find the measures of the unknown angles:

m∠1 = 3x° = 3(30)° = 90°

m∠2 = (2x + 10)° = (2(30) + 10)° = 70°

So, the measure of angle 1 is 90° and the measure of angle 2 is 70°.
Answered by GPT 3.5
You're welcome! I'm glad I could help. Don't hesitate to reach out if you have any more questions.