Question

I am in desperate need of the answer to this:
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first. Find the measure of the third angle

Answer 1

Answer:

120°

Step-by-step explanation:

The sum of all angle measurements for the interior of the angle is 180°.

Let the first angle measurement be denoted as "x".

The second angle measurement is twice that of the first, or "2x".

The third angle measurement is six times of that of the first, or "6x".

Set the equation:

x + 2x + 6x = 180

Simplify. Combine like terms. Like terms are terms with the same, as well as same amount of said variable:

(x + 2x + 6x) = 180

(9x) = 180

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 9 from both sides of the equation:

(9x)/9 = (180)/9

x = 180/9 = 20

x = 20

Next, plug in 20 for x for the third measurement:

6x = 6 * (20) = 120°

120° is your answer.

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