Question

In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32 degrees, (m<2-m<1=32 degress) What are the measures of the angles of the rhombus?

Answer 1

you need to draw a picture are realise the diagonals of a rhombus intersect at right angles.

let the angles be a and b



in triangle ADE

a + b = 90 ( by angle sum of a triangle since angle AED = 90)

and you know the difference of the angles

a - b = 32

so you have 2 equations in 2 unknowns that need to be solved

a + b = 90
a - b = 32

after solving for a and b the last thing you need to know to find the angles sizes is that the diagonals bisect the angle through which they pass.

hope it helps.

Answer 2

thanks!