1. a. Scalene triangle
b. Isosceles triangle
c. Right-angled triangle
d. Obtuse-angled triangle
e. Equilateral triangle

There are often alternative ways of solving triangle angle problems.

Only one way is shown below.

2.a. x = 78° (∠ sum of Δ )
b. x = 59° (Adj. ∠ s on st. line)
  y = 32° (∠ sum of Δ )
c. x = 61° (∠ sum of Δ )
  y = 61° (Vert. opp. ∠ s )
  w = 119° (Adj. ∠ s on st. line)
  z = 119° (Vert. opp. ∠ s )
d. x = 36° (∠ sum of Δ )
e. x = 96° (ext ∠ of Δ = sum int. opp.∠ s)
  y = 84° (Adj. ∠ s on st. line)
f. x = 63° (ext ∠ of Δ = sum int. opp.∠ s)
g. x = 65.5° (∠ sum of Δ )
  y = 65.5° (base ∠ s of isos. Δ )
h. y = 47° (base ∠ s of isos. Δ )
  x = 86° (∠ sum of Δ )
i. x = 61° (Adj. ∠ s on st. line)
  y = 61° (base ∠ s of isos. Δ )
  z = 58° (∠ sum of Δ )