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.
