1. (a) a = 80°
(b) c = 90°
(c) e = 100°

b = 50° d = 43°

2. (i) a (ii) c and a (iii) a and b

3.

(a) A = 40°

(b) D = 90°

(c) G = 67.5°

B = 80°

E = 60°

H = 90°

C = 60°

F = 30°

I = 22.5°

 

4. (a) No (b) Yes

 

5.

(a) x = 8

(b) w = 5

(c) p = 60°

y = 54°

t = 36°

q = 60°

z = 72°

   

6. (a) x = 45
° right-angled isosceles

 

(b) x = 30° right-angled scalene

(c) x = 30° equilateral

7. (a) False (b) True (c) False