Question

https://prnt.sc/lvcuua

Answer 1

@jhonyy9

Answer 2

@Nnesha

Answer 3

^^ the definition of Trapezoid
so if non-parallel are equal in length how would you set up both expression as an equation?

Answer 4

im not suree

Answer 5

if both blues lines are equal then we say `b=c`

Answer 6

blue*

Answer 7

so what do we do with them?

Answer 8

look at the example where i use b and c to make an equation b `=` c
you have to do the same thing
write 5x-32 and 2x+61 in an equation form

Answer 9

how do i do that

Answer 10

= this represent an equal sign
so when a and b are equal we write it as `a=b`
so if 5x-32 and 2x+61 are equal we have to write it `5x-32=2x+61`
that's the equation \[5x-32=2x+61\] now solve for x

Answer 11

31

Answer 12

yes, you can plugin the x value to verify the answer \[5(31)-32 =2(32)+61\]
you should get same number on both sides

Answer 13

https://prnt.sc/lvd8g6

Answer 14

angle on the same side of legs are supplementary
what's the definition of supplementary angles?
that they add up to 180 degree

Answer 15

in order to solve these type of question we need to know the definition of the shape
https://www.mathwarehouse.com/geometry/quadrilaterals/trapezoid.php
^^ that will help

Answer 16

\[a+b =180\]

Answer 17

so for you question \[(5x+13)+(3x-5)=180\]