Answer:
- 1. x = 10
- 2. x = -6
- 3. 94
- 4. x = 2
Step-by-step explanation:
1. F and M are equal angles and sum of internal angles = 180, so
- 2(7x + 5) + 30 = 180
- 14x + 10 + 30 = 180
- 14x = 140
- x = 10
2. Triangle is equilateral as all angles are equal, so all sides are equal:
- 4x + 43 = -2x + 7
- 4x + 2x = 7 - 43
- 6x = -36
- x = -6
3. Isosceles triangle with equal angles of R and T:
- 4x + 7 = 7x - 20 (using values as per picture not text)
- 7x - 4x = 20 + 7
- 3x = 27
- x = 9
Angle S is
- 180 - 2(4*9 + 7)=
- 180 - 2(43) =
- 180 - 86 =
- 94
4. Angle 2 is supplementary with 156 as isosceles triangles and vertical angles are equal, therefore:
- 180 - 156 = 6 + 9x
- 24 = 6 + 9x
- 18 = 9x
- x = 2
