Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

if two angles form a linear pair are in the ratio 6:4, then find the angles??

Sagot :

naǫ
x, y - the angles

The measures of the angles in a linear pair add up to 180°.
[tex]x+y=180 \\ y=180-x[/tex]

The ratio of x to y is 6:4.
[tex]\frac{x}{y}=\frac{6}{4} \\ \\ \frac{x}{180-x}=\frac{6}{4} \\ 4x=6(180-x) \\ 4x=1080-6x \\ 4x+6x=1080 \\ 10x=1080 \\ x=108 \\ \\ y=180-x=180-108=72[/tex]

The measures of the angles are: 108° and 72°.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.