Question

I need help with this plz.

Answer 1

1. 90 - 70 = 20 (angle 1 and the 70 degree angle form a right (90 deg.) angle
2. 180 - 25 = 155 (angle 2 and the 25 degree angle form a straight (180 deg.) angle
3.  angle 4 = 50 (vertical angles are congruent/equal in measure)
4.  angle 5 = 180 - 30 = 150
     angle 6 = 30
     angle 7 = 150
5.  180 - 125 = 55  (supplement means they add to equal 180 and angle CDE must equal 125 because it is a vertical angle to the angle with measure 125)
6.  angle ADC (vertical angles have the same vertex and the sides are opposite rays)
7.  180 - 125 = 55
8.  125 (vertical angles are congruent/equal in measure)
9.  90 (angles of a rectangle are right)
10. angle ABD (there is also angle BDC)
11.  angle DCB (there is also angle ADC and angle ABC)
12.  c. angle CDA (it is the only right (90 deg.) angle in the choices and since angle BCD is a right angle you need a sum of 180 if they are supplements)