∠1 and ∠2 are supplementary. m∠1 = 3x – 4 and m∠2 = 8x – 14. Find the measure of each angle.

Question

anonymous · Answer

@Directrix

mathstudent55 · Answer

Do you know what supplementary angles are?

anonymous · Answer

Angles that equal 180 degrees!

anonymous · Answer

Would i do this?

(3x – 4)+(8x – 14)= 180

mathstudent55 · Answer

Yes, 2 angles whose measures add up to 180 degrees.
Angles 1 and 2 are supplementary.
That means m<1 + m<2 = 180.
Now substitute the expression for each angle and solve for x.

mathstudent55 · Answer

Yes, your equation is correct.
Now solve it for x.
Then when you know x, plug it in the expression for each angle to find the measure of each angle.

anonymous · Answer

(11x – 18)= 180 

That?

mathstudent55 · Answer

Correct.
Drop the parentheses. You don't need them.

anonymous · Answer

x= 18

anonymous · Answer

i think i got it!

m∠1 = 50°, m∠2 = 130°

anonymous · Answer

Thanks!

mathstudent55 · Answer

Great.
Notice that 50 deg and 130 deg are the measures of supplementary angles, which makes sense.

mathstudent55 · Answer

You're welcome.