justice6969
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Use the diagram. Find the measures of _A and B.
840
5x
A
B

Use The Diagram Find The Measures Of A And B 840 5x A B class=

Sagot :

imSolly

Answer:

Angle A = 16

Angle B = 80

Step-by-step explanation:

All triangles equal up to 180 degrees.

Since we know this, we can make an equation with the given values and set it equal to 180 degrees. Because, 84, 5x, and x must equal 180 degrees.

84 + 5x + x = 180

Now, solve for x.

[tex]84 + 5x + x = 180\\84 + 6x = 180\\84 - 84 + 6x = 180 - 84\\6x = 96\\\frac{6x}{6} = \frac{96}{6} \\x = 16[/tex]

Now that we have figured out what x is equal to, or in other words, what is the numerical value of x... we can figure out the measure of angle A and B.

Since x = 16, we can replace x with 16.

So for Angle A, x is 16. So, angle A is 16 degrees.

Angle B: 5x = 5(16) = 80. Angle B is 80 degrees.

To check your work (for future reference), plug in x with it's numerical value in the equation we created:

84 + 5(16) + (16) = 180

84 + 80 + 16 = 180

180 = 180

If either side does not equal 180, you did not do your math correctly and must find your error.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.