Question

Find the measure of each interior angle for MAT

Answer 1

*∠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°