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Mathematics 19 Online
OpenStudy (anonymous):

TRIANGLE HELP!!!!!!!!

OpenStudy (anonymous):

OpenStudy (mathstudent55):

You see the small green marks on 2 of the triangle's angles?

OpenStudy (anonymous):

yes

OpenStudy (mathstudent55):

Do you know what they mean?

OpenStudy (anonymous):

no @mathstudent55

OpenStudy (mathstudent55):

They mean that the two angles are congruent.

OpenStudy (mathstudent55):

What is the sum of the measures of the angles of a triangle?

OpenStudy (anonymous):

105 degrees

OpenStudy (austinl):

360 degrees. You know the measure of one angle, 105. So that means that the two other angles are all that is left. Since they are the same, you can divide by two.

OpenStudy (anonymous):

75 degrees @austinL

OpenStudy (mathstudent55):

The sum of the measures of the angles of a triangle is 180 degrees. One angle has measure 105 degrees. That leaves 180 - 105 = 75 The other two angles have a combined nmeasure of 75 degrees.

OpenStudy (mathstudent55):

That means eaxh of the other two angles measures 75/2

OpenStudy (austinl):

Sorry, silly error :$

OpenStudy (anonymous):

75/2=36 @mathstudent55

OpenStudy (anonymous):

Can i get help on the next question

OpenStudy (austinl):

That is incorrect.

OpenStudy (mathstudent55):

72/2 = 36 Here it's 75/2, so it's not 36.

OpenStudy (anonymous):

37.5 is the asnwer

OpenStudy (mathstudent55):

right

OpenStudy (anonymous):

how do i solve the next question

OpenStudy (mathstudent55):

What is the sum of the measures of the angles of a triangle?

OpenStudy (mathstudent55):

This is for the next question.

OpenStudy (anonymous):

180 right ? @mathstudent55

OpenStudy (mathstudent55):

Yes. What are the measures of the three angles of the triangle?

OpenStudy (anonymous):

60 @mathstudent55

OpenStudy (mathstudent55):

Did you look a the drawing? Where do you see an angle that measures 60? I see one that measures 32 degrees. What do the other two angles measure?

OpenStudy (anonymous):

i am getting negative numbers

OpenStudy (mathstudent55):

Are we solving the same problem?

OpenStudy (anonymous):

OpenStudy (mathstudent55):

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OpenStudy (mathstudent55):

Is this the problem?

OpenStudy (anonymous):

yes @mathstudent55

OpenStudy (mathstudent55):

Ok. Let's start again. The sum of the measures of the angles of a triangle is 180 degrees. Ok so far?

OpenStudy (anonymous):

yes

OpenStudy (mathstudent55):

Now look at the triangle. It has angles A, B, and C. Each angle has a measure written. Can you tell me what the three angle measures are?

OpenStudy (anonymous):

how can i set it up ?

OpenStudy (mathstudent55):

The angles have measures: 32, 11x - 9, and 4x + 7 Now you need to add them and set the sum equal to zero. 32 + 11x - 9 + 4x + 7 = 180 Solve the equation for x. 30 + 15x = 180 15x = 150 x = 10 m<ABC = 11x - 9 Now we plug in 10 for x: m<ABC = 11(10) - 9 m<ABC = 101 degrees

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