*∠A= 180° - 105°= 75°
Now we have to find x:
Since ∠M, ∠A, ∠T are angles of a triangle, we know that:
M∠ + ∠A + ∠T = 180°
180° - (2x + 27°) + 75° + x - 8° = 180°
180° - 2x - 27° + 75° + x - 8° = 180°
220° - 1x = 180°
- x = 180° - 220°
- x = - 40°
x = 40°
*∠M= 180° - (2x + 27°)
= 180° - 2 × 40° - 27°
= 180° - 80° - 27°
= 73°
*∠T= x - 8°
= 40° - 8
= 32°
