Question

Given that MATH is a parallelogram, solve for c.

Answer 1

c = x

86 = b-10

What else do we know? At least one more useful relationship.

Answer 2

i have no idea

Answer 3

Not good enough. You know nothing of quadrilaterals?

How about the sum of exterior angles? Interior angles?

Answer 4

the sum of interior angles will = 180 and the sum of exterior angles will =360

Answer 5

Very good, but not quite. Triangles sum interior angles to 180º. Quadrilaterals (like the parallelogram, for instance) sum to 360º. This is your third piece of information.

86 + c + x + (b-10) = 360

Use your three clues and solve for x, c, and b.

Answer 6

would you subtract 86 and 10 from 360

Answer 7

Subtract 86, yes. Add 10.

c + x + b = 284

Remember the two clues from the beginning?

c = x

86 = b-10

Answer 8

add 10 to 86 and get b

Answer 9

then you would get c+x+96 subtract 96 and get c+x=188 divide it by 2 and get 94

Answer 10

b = 96 -- Good

c + x + 96 = 284

c+x = 188 -- Good

c=x

2c = 188

c = 94

x = 94 -- Good.

Does it all work? Try it in the original picture.

Answer 11

yes 94+94+86+86 adds to 360 proving interior angles theroem

Answer 12

There you have it. Good work.

Remember this, "I have no idea"?

That is not true. :-)

Answer 13

yeah just need that push tank you