Question

I am confused on if I did this write. is angle 3 130 degrees and then 180-130=50 degrees for 1 and 2?

Answer 1

I'm supposed to find the measures of the numbered angles for each rhombus

Answer 2

hm, not quite

rhombuses are types of parallelograms, which means opposite angles are equal, and adjacent angles add up to 180

so looking at the 130 angle in the upper left corner, the adjacent angle beneath it consists of <1 and <2 put together.

since adjacent angles add up to 180, then <1 + <2 + 130 = 180

additionally, in rhombuses, the diagonals bisect the angles. this means the diagonal cuts the lower left angle into two equal angles, meaning <1 and <2 are equal. from there, you can calculate the measures of <1 and <2 (they are equal)

angle 3 is also equal to angles 1 and 2 using the same logic as before. so all three of your angles should have the same measure.

Answer 3

oh. darn.