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Mathematics 11 Online
OpenStudy (alexis.madero):

need help

OpenStudy (alexis.madero):

OpenStudy (triciaal):

the sum of the angles in a triangle = 180 a straight line = 180 degrees

563blackghost (563blackghost):

`Vertical Angle Thereom` states that two angles that are vertical which are make by intersecting lines are congruent to each other. So \(\large{ \angle 1 = \angle 3}\). Substitute. \(\Large\bf{3x-15=5x-81}\)

OpenStudy (triciaal):

a right angle = 90 degrees <6 + (x + 27) = 90

OpenStudy (will.h):

we can find the measure of angle 1 and 3 by definition of opposite angles 3x - 15 = 5x - 81 66 = 2x 33 = x measure of angle 1 is 84 measure of angle 3 is 84 now the 1st we have to find angle 2 we know that angle 1 + angle 2 = 180 by straight line definition 84 + angle 2 = 180 angle 2 = 96 degrees now we can answer the 1st angle 2 is > angle 1

OpenStudy (will.h):

and since angle 2 and angle 4 are vertical angles then they are congruent Thus angle 2 = angle 4

OpenStudy (alexis.madero):

so first do we have to find the sun of the angles

OpenStudy (will.h):

now the 3rd one is: is angle 5 equal to x+3? and am i making sense so far?

OpenStudy (alexis.madero):

kind of im just terrible at math so i get lost easily

OpenStudy (will.h):

well before we proceed tell me what question do u have

OpenStudy (alexis.madero):

no angle 5 is not equal to x+3

OpenStudy (alexis.madero):

i think O_o

OpenStudy (will.h):

are u certain that angle 5 is not x + 3?

OpenStudy (alexis.madero):

well isn't angle 5 greater that x+3?

OpenStudy (will.h):

hang on a min there is some error i think is the expression adjacent to angle 6.. x+27?

563blackghost (563blackghost):

I do believe that angle 6 is not the expression. Due to the fact the right angle is bisected to make angle 6 and x + 27.

OpenStudy (alexis.madero):

yes it is

OpenStudy (will.h):

i made an error

OpenStudy (alexis.madero):

so then it would be angle 6 < x+27?

OpenStudy (alexis.madero):

its okay we all do

OpenStudy (will.h):

by the sum of triangle we will find angle 5 and 6 x+3 + x+27 + angle 3 = 180 x + 3 + x + 27 + 84 = 180 2x + 30 + 84 = 180 x = 33 so to find angle 5 angle 5 + 36 = 180 angle 5 = 144 therefor Angle 4 is < Angle 5

OpenStudy (will.h):

now to find angle 6 angle 6 + x + 27 = 90 we know that x = 33 angle 6 + 60 = 90 Angle 6 = 30 Thus Angle 6 < angle 5

OpenStudy (will.h):

the last one is we know that angle 2 is 96 degrees and angle 3 is 84 so Angle 2 > angle 3

OpenStudy (will.h):

Hope that helps

OpenStudy (alexis.madero):

thank you so much im going to review everything for my exams your the best ^.^

OpenStudy (will.h):

you are welcome :) let me know if you have other questions

OpenStudy (alexis.madero):

i will thank :) ^.^

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