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Mathematics 23 Online
OpenStudy (anonymous):

Find the measure of angle Z.

OpenStudy (anonymous):

A. 124 B. 97 C. 56 D. 51

OpenStudy (wolf1728):

I see angle A, B and C are labelled and there's even a quantity "x" but what is Z?

OpenStudy (anonymous):

thats what im looking for its one of the answers

OpenStudy (wolf1728):

But it doesn't even say what or where "Z" is.

OpenStudy (wolf1728):

It's like my asking if A=3 and B=28 what is C?

OpenStudy (anonymous):

oh sorry the question is Find the measure of angle ABC. and i dont know how to do it

OpenStudy (wolf1728):

Okay let's start with 32 + 2x-15 + x -5 = 180

OpenStudy (anonymous):

yah

OpenStudy (wolf1728):

3x = 128

OpenStudy (anonymous):

how did you get that?

OpenStudy (wolf1728):

x = 42.6666666 So angle C = 2x -15 angle B = 2 * 42.6666666 -15 C = 70.3333333333 and B=77.6666666667

OpenStudy (wolf1728):

All angles of a triangle add up to 180 degrees 32 + 2x-15 + x -5 = 180

OpenStudy (wolf1728):

So angle ABC should be angle B

OpenStudy (wolf1728):

Rechecking my arithmetic 32 + 2x + x = 200 3x = 168 x = 56

OpenStudy (wolf1728):

Angle B= x -5 = 56 -5 = 51 Angle C= 2x -15 Angle C = 97 97 + 51 + 32 = 180

OpenStudy (anonymous):

thank you

OpenStudy (wolf1728):

u r welcome

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