The third angle in an isosceles triangle is 1/7 as large as each of the two base angles. Find the measure of each angle.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
This is a systems problem.
They give you a couple of pieces of information to construct your system of equations.
First they tell you that the third angle (which I will call B) is 1/7 as large as each of the two base angles. Lets construct the first equation.
(B is the third angle, A is the measure of the base angles.)
We know that triangles sum up to 180 degrees, which gives us our second equation, making our system look like this:
Use the solved equation and put it into the second one.
You want to group your A's together, so you must get a common denominator.
Divide by (15/7), which is multiplying by (7/15).
Now that you have a numerical value for A, use it in the simplest equation to find the numerical value of the other variable.
The solution, then, is A=84 and B=12.
Remember, isosceles means that two of the angles are the same measure.