Question

please answer the above question

Answer 1

Given angle measures: ∠A = 75° and ∠ETM = 35°

To find: The measure of a, b and c.

Answer:

Since it's a parallelogram, EM║TA and ET║MA.

Let us find the value of c.

∠ETM + ∠MTA = ∠A (Corresponding Angles)

35° + c = 75°

c = 75° - 35°

c = 40°

Let us find the value of b.

b = 35° (Alternate Angles)

Let us find the value of a.

∠AMT + ∠TME = ∠ETM + MTA (Let ∠TME be x) (Opposite Angles are equal)

b + x = 35° + c

35° + x = 35° + 40°

35° + x = 75°

x = 75° - 35°

x = 40°

∠AME + a = 180° (Co - interior angles are supplementary)

75° + a = 180°

a = 180° - 75°

a = 105°

Hope it helps :)