Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The measure of two supplematry angles

Sagot :

Given that angles S and T are supplementary, then:

m∠S + m∠T = 180°

Given that angles S and T are in the ratio 7:3, then:

[tex]\frac{m\angle S}{m\angle T}=\frac{7}{3}[/tex]

Isolating m∠T from the first equation:

m∠T = 180° - m∠S

Substituting this into the second equation, and solving for m∠S:

[tex]\begin{gathered} \frac{m\angle S}{180-m\angle S}=\frac{7}{3} \\ m\angle S\cdot3=7\cdot(180-m\angle S) \\ 3m\angle S=7\cdot180-7m\angle S \\ 3m\angle S+7m\angle S=1260 \\ 10m\angle S=1260 \\ m\angle S=\frac{1260}{10} \\ m\angle S=126\text{ \degree} \end{gathered}[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.