Question

find the value of unknown angle in this case​

Answer 1

Step-by-step explanation:

∴ ∠E = ∠A (alternate interior angles)

∠E = 95°

∴ ∠BAC + ∠FAC(∠A) = 180°

∠BAC + 95° = 180°

∠BAC = 180° - 95°

∠BAC = 85°

Again,

∠BAC + ∠ABC + ∠BCA = 180° ( sum of interior angles of a triangle)

→ 85° + x + 40° = 180°

→ 125° + x = 180°

→ x = 180° - 125°

→ x = 55°

∴ the value of x is 55°

Answer 2

Answer:

Angle E + Angle A =180 degree ( co int angles )

95 + Angle A = 180

Angle A = 180 - 95

Angle A = 85 degree

Angle A + Angle y = 180 degree ( linear pair )

85 + Angle y = 180

Angle y = 180 - 85

Angle y = 95 degree

Similarly, Angle A + Angle x = 180 degree

85 + Angle x = 180

Angle x = 180 - 85

Angle x = 95 degree

HOPE IT HELPS YOU .