Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What is the missing angle? (Please use image attached)

What Is The Missing Angle Please Use Image Attached class=

Sagot :

Answer:

56

Step-by-step explanation:

Since vertical angles are equal, we know the two angles labeled are equal.

We can then set up an equation to get

[tex]19x-28=9x+52.[/tex]

Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us

[tex]10x-28=52[/tex].

Then, adding [tex]28[/tex] to both sides gives

[tex]10x=80,[/tex]

and dividing both sides by 10 gives

[tex]x=8.[/tex]

Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:

[tex]9(x)+52=9(8)+52=72+52=124.[/tex]

Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have

[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.