Find the value of x, y,z each of the following figures

1.	Find the value of x, y,z each of the following figures
Answer» ANSWER: i) ∠X = ∠ 55° (Vertically opposite angle) ∠x + ∠y = 180° (Adjacent angles) 55° + ∠y = 180° (Linear pair angles) THEREFORE, ∠y=180° - 55° = 125° ∠y = ∠Z Hence, ∠x=55° , ∠y=125° and ∠125° ii) 25° + x + 40° = 180° 65° + x = 180° Therefore, x = 180° - 65° = 115° 40° + y = 180° (Linear PAIRS) Therefore y = 180° - 40° = 140° y + z = 180° (Linear pairs) 140° + z = 180° Therefore z = 180° - 140° = 40° Hence , x - 115° y = 140° and z = 40°

Answer»

i) ∠X = ∠ 55° (Vertically opposite angle)

∠x + ∠y = 180° (Adjacent angles)

55° + ∠y = 180° (Linear pair angles)

THEREFORE, ∠y=180° - 55° = 125°

∠y = ∠Z

Hence, ∠x=55° , ∠y=125° and ∠125°

ii) 25° + x + 40° = 180°

65° + x = 180°

Therefore, x = 180° - 65° = 115°

40° + y = 180° (Linear PAIRS)

Therefore y = 180° - 40° = 140°

y + z = 180° (Linear pairs)

140° + z = 180°

Therefore z = 180° - 140° = 40°

Hence , x - 115°

y = 140° and z = 40°

Discussion