need help
the sum of the angles in a triangle = 180 a straight line = 180 degrees
`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. \(\Large\bf{3x-15=5x-81}\)
a right angle = 90 degrees <6 + (x + 27) = 90
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
and since angle 2 and angle 4 are vertical angles then they are congruent Thus angle 2 = angle 4
so first do we have to find the sun of the angles
now the 3rd one is: is angle 5 equal to x+3? and am i making sense so far?
kind of im just terrible at math so i get lost easily
well before we proceed tell me what question do u have
no angle 5 is not equal to x+3
i think O_o
are u certain that angle 5 is not x + 3?
well isn't angle 5 greater that x+3?
hang on a min there is some error i think is the expression adjacent to angle 6.. x+27?
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.
yes it is
i made an error
so then it would be angle 6 < x+27?
its okay we all do
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
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
the last one is we know that angle 2 is 96 degrees and angle 3 is 84 so Angle 2 > angle 3
Hope that helps
thank you so much im going to review everything for my exams your the best ^.^
you are welcome :) let me know if you have other questions
i will thank :) ^.^
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