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Each interior angles measures 150 degrees
Very simple, let's mount a linear system: x=measure of the angle; y=supplement; z=complement: I:x+y= 180; II:x+z= 90; III: y+z= 150; Summing I with II we have: I+II: 2x+y+z= 270; III: y+z=150 Now, subtracting III from I+II we have a simple equation: 2x=120; >x= 60< So, the angle whose sum of the measures of its complements and supplement is 150, has 60 degrees.
The complement of an angle can be added to that angle to get a total of 90 degrees. Therefore, if your angle was 45*, set up a simple algebra problem. 45+x=90 subtract 45, you get x=45 The complement of a 45* angle is 45*. The complement of a 30* angle is 60, etc. The supplement of an angle can be added to said angle to get a total of 180 degrees, so if your angle is 45*, set up an algebra problem (again :P). 45+x=180 subtract 45, x=135. The supplement of a 45* angle is 135*. The supplement of a 30*angle is 150*, etc. Hope this helped!
An obtuse angle.
supplement: 30 degrees.complement: No true answer. -60 degrees I guess. 150 is already > 90complementary anglesplural of com·ple·men·ta·ry an·gleNoun:Either of two angles whose sum is 90°. def. credit: Google