Question

in rhombus abcd if angle c=100 what is angle dbc

Answer 1

Hey Bella,
\(\Large\bf \color{#CC0033}{\text{Welcome to OpenStudy! :)}}\)

Answer 2

A quadrilateral contains 360 degrees interior.
So that leaves 160 degrees for the remaining two angles.
They will be equal to one another, so 80 each, yes?

Answer 3

So does that give you enough information to find dbc?

Answer 4

Yes, but im still not sure how to show the work for finding this answer...

Answer 5

So the last step is to just cut the angle in half right?
Ok so to justify your steps...

Start by saying that `opposite angles are congruent` in a rhombus, therefore angle a = 100.

Answer 6

The rest of the steps shouldn't be too bad, yes?
Look back at my notes +_+
how many degrees do the interior angles of a quadrilateral add up to?

Then to split that amount in half, you justify that by using the same rule we used in the first step.