148k views
1 vote
Please help with problem 24, Algebra 1 question, question in the attachments

Please help with problem 24, Algebra 1 question, question in the attachments-example-1
User Nour Helmi
by
8.3k points

1 Answer

1 vote

Let
x be the "given angle" mentioned here. Then its complement indeed has measure
90-x, and its supplement
180-x.

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."


\implies 180 - x = 10 + 2 (90 - x)

Solve for
x.


180 - x = 10 + (180 - 2x)


180 - x = 190 - 2x


2x - x = 190 - 180


\boxed{x = 10}

User Vipin Mohan
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories