Answer:
Q1
- This is acute angle since 75° < 90°
Q2
- This is an isosceles triangle
Q3
Exterior angle is the sum of non-adjacent interior angles:
- 4x + 7 + 6x - 9 = 118
- 10x - 2 = 118
- 10x = 120
- x = 12
m∠L = 4*12 + 7 = 48 + 7 = 55°
Q4
The triangles are congruent and corresponding sides are equal:
- 3x - 5 = 2x + 1
- 3x - 2x = 1 + 5
- x = 6
Side lengths are: