445.A trapezoid has a 60-degree angle and a 45-degree angle. What are the other angles?

Question

Are base angles supplementary? How do I do this?

Answer 1

the top line and base are parallel, base longer than top line (since lines from base to top line are acute.

on the 60 degree angle, draw altitude (perpendicular to base) have 60,30,90 triangle. trapezoid angle for that side at top line is 90+30=120.

draw altitude down from top to base on 45 degree side. have 45,45,90 triangle and trapezoid top line angle is 45+90=135.

Answer 2

if the trapezoid is a parallelogram the other two angles are the same 120 and 135 degrees

otherwise about all you can say is the other two sides sum to 205 degrees

and each is less than 180 and greater than 75

each other side is s, where 75<s<180

so possibilities are

179 and 76

170 and 85

160 and 95

150 and 105

140 and 115

130 and 125

120 and 135

110 and 95

103 and 102

and endless other combinations