Answer:
1. 145
2. 35
3. a = 90
b= 31
c= 121
d=59
Step-by-step explanation:
An angle is made of three points that create an openness. Degrees are the measurement used to give a value to that openness. You use a protractor by reading the lines for the value from the base of the angle.
1.Angle ABC starts on the left at 0 an point A extends all the way around to 145.
2.Angle ABD starts at 0 on the right side and extends to 35.
3. Angle A has the marking of a square which is a right angle. All right angles are 90.
Angle B and 59 make a right angle and therefore add to 90. B+59 = 90. So B = 31.
Angle d and angle 59 are across a vertex from each other. They are perfect reflections of each other called vertical angles. This manes d=59.
Angles d and c form a line as their base which is 180. So Angle d + Angle c = 180 and angle d=59, so angle c = 121.
