With a protractor and a straight edge
Half 3
180-105-32 = 43 The third angle measures 43 degrees
180 - 105 = 75 degrees.
180-105 = 75
with compass.........at 90+60degree angle,,,,,,,,, * * * * * and 90 + 60 = 105??? You need to draw a 90 degree ange and bisect it to give a 45 deg angle. Then add a 60 degree angle. 45 + 60 = 105.
With a protractor and a straight edge
In conjunction with a straight edge and a protractor
Easiest is to use a protractor. Alternative: Draw a 90 degree angle. Bisect the external angle so that it is 45 degrees. Trisect that angle so that the angle adjacent to the 90 degree angle is 15 deg Then 90 + 15 degrees = 105 degrees. Both, bisection and trisection require the use of a compass (and ruler).
Draw a line segment AB. Put your compass point at B and stretch the compass out until it is at point A. Now draw a circle. Now move the compass point to B, leaving the compass opening the same as before and draw another circle. The circles will intersect in two points. Call them C and D. Draw CD and name its intersection with AB as the point E. angle CEB is a right angle. Now you need to bisect the 90 degree angle you just constructed to get two 45 degree angles. Look in your book as to how to bisect an angle. The angle CAB = 60 degrees. So bisect it to get a 30 degree angle and then bisect it to get a 15 degree angle. You can get a 105 degree angle by adding the 90 degree angle and the 15 degree angle. Similarly, you can get a 75 degree angle by subtracting the 15 degree angle from 90 degrees. Look in your book on how to copy an angle.
A 75 degree angle.
obtuse angle
Yes
A pair of supplementary angles add up to 180 degrees. Therefore, the supplement to a 105 degree angle is equal to 180 - 105 = 75 degrees.
105 degrees
.105
The supplement of a 75-degree angle is the angle that, when added to 75 degrees, equals 180 degrees (a straight line). To find the supplement of a given angle, you subtract the given angle from 180 degrees. Therefore, the supplement of a 75-degree angle is 105 degrees.