Question

The quadrilateral shown is a rhombus. What is m ‹ 2?

Answer 1

pic

Answer 2

You have to know how the angles are related to each other

Answer 3

so angle 2 = 32\(^o\) as well

and so does angle 4 and 5

Answer 4

to find angle 2, you can remember that the two adjacent angles add up to 180

so
angles 1, 2, 4, and 5 add up to 180

and we know that angles 4 and 5 are 32 degrees

so
m<1 + m<2 + 32\(^o\) + 32\(^o\) = 180\(^o\)

and remember that angle 1 and angle 2 are equal to each and they're also equal to angle 6 and 7

so if angle 2 is x degrees, then angle 1 is also x degrees

so you have

x + x + 32 + 32 = 180

Answer 5

solve for x, and you're all good to go

Answer 6

64

Answer 7

32+32

Answer 8

yes and subtract that on both sides then

Answer 9

180-64

Answer 10

good!

Answer 11

don't forget that x + x = 2x

so now you have

2x = 180 - 64

Answer 12

58

Answer 13

Perfect! Well done :)

Answer 14

Thank u

Answer 15

You're most welcome :)