Question

For the rhombus below find the measures of angle 1 2 3 and 4

Answer 1

The measure of < 2 = 57 degrees ( Alternate angles are equal).

Note that each of the divisions in the rhombus is a right angle triangle and the angles in the triangle are 90, 57 and 33 degrees.

The measure of < 1 is 33 degrees.

The measure of < 4 is 33 degrees ( alternate to < 1 ).

The measure of < 3 is 57 degrees (complementary to < 1, i.e 90 - 33).