Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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°.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.