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Mathematics 16 Online
OpenStudy (anonymous):

@Directrix

OpenStudy (anonymous):

10

Directrix (directrix):

The sum of the angle measures of a triangle is 180. m<A + m<B + m<C = 180 Substituting, 4x + 3x + 1 + 7x +11 = 180 Solve this ^^ for x.

Directrix (directrix):

What is 4x + 3x + 7x = ?

Directrix (directrix):

@DeeBush96 ^^^

OpenStudy (anonymous):

14x + 12=180

OpenStudy (anonymous):

@Directrix what i do with the 12

Directrix (directrix):

14x + 12=180 -12 -12 ---->Subtract 12 from both sides -----------------

Directrix (directrix):

14 x = ? x = ?

OpenStudy (anonymous):

14

OpenStudy (anonymous):

12 i meant

Directrix (directrix):

Okay

Directrix (directrix):

x = 12 Now, we have to get the actual measures of the angles of the triangle. 4x = 4*12 = ? 3x + 1 = 3*12 + 1 = ? 7x +11 = 7*12 + 11 = ?

OpenStudy (anonymous):

95

Directrix (directrix):

There are three angles. 95 is the last one. You have two others to do. Look back.

OpenStudy (anonymous):

what letter is 95

OpenStudy (anonymous):

@dir

Directrix (directrix):

m<C= 7x +11 = 7*12 + 11 = 95 --> That is the one you have done so far.

Directrix (directrix):

m<A= 4x = 4*12 = ?

Directrix (directrix):

It is too early to choose options. We have another theorem to apply after you get these angle measures cranked out.

Directrix (directrix):

4 times 12 equals ?

OpenStudy (anonymous):

88

Directrix (directrix):

Try again.

OpenStudy (anonymous):

48

OpenStudy (anonymous):

sorry i typed it wrong lol

Directrix (directrix):

Now, for angle B 3x + 1 = 3*12 + 1 = ?

OpenStudy (anonymous):

37

Directrix (directrix):

Here are the angles on the triangle. Coming next is the theorem we need.

Directrix (directrix):

The smallest side of the triangle is the side opposite the smallest angle. 37 is the smallest angle (<B). Which side is opposite <B ?----> @DeeBush96

OpenStudy (anonymous):

48

Directrix (directrix):

48 is an angle. What side of the triangle is opposite angle B. The answer is AB, BC, or AC

Directrix (directrix):

Look at this diagram.

Directrix (directrix):

What is the name of the side outlined in red?

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