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!
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
If two angles are supplementary, and one angle measures 30 degrees, then the second angle must measure 150 degrees. This is because by definition if two angles are supplementary, then they must up to 180 degrees.
150 degrees
An obtuse angle
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
Each exterior angle measures 30 degrees Each interior angle measures 150 degrees
150 degrees.
An angle of 150 degrees is an obtuse angle because it is greater than 90 but less than 180 degrees
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!
The complement of 60 degrees is 30 degrees. Then the supplement of 30 degrees is 150 degrees. Answer: 150 degrees
30 degrees
A regular 12 sided polygon each interior angle measures 150 degrees