An angle measures 48° more than the measure of its supplementary angle. What is the measure of each angle?

66 and 114 degrees

Step-by-step explanation:

Supplementary angles add to 180 degrees.

An angle measures 48 more than its supplementary angle. If the supplementary angle is x, then the other angle must be x+48

x+x+48=180

Subtract 48 from both sides

x+x+48-48=180-48

x+x=132

Combine like terms

2x=132

Divide both sides by 2

2x/2=132/2

x=66

So, one of the angles is 66 degrees. The other is x+48

x+48

66+48=114

One of the angles is 66 degrees, the other is 114 degrees

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.