Answer:
4Q a). angle1=55°
angle2=23°
angle3=63°
angle4=125°
5Q. x=35°
6Q. y=15°
8Q. C. 28°
9Q. Yes, they are congruent by S.S.S. congruence
10Q. A.A.S.
11Q. S.S.S.
12Q. Not possible
13Q. S.A.S.
14Q. S.S.S.
15Q. 66°
16Q. 24°
I hope it will be useful.
Step-by-step explanation:
7Q. angle1=angle3 (Alternate Interior Angles)
angle2=angle4 (A.I.A.)
angleXWZ=angleXYZ (opposite angles of a parallelogram)
By A.A.A. congruence criteria, they are congruent.
8Q. Hint: Make the diagram first!
AngleC is halved since M is the mid-point.
angleA=angleB (Property of an isosceles triangle)
which implies, angleAMC=angleBMC=90°
Thus, CM is perpendicular to AB.
I hope it will be useful.
