Answer:MARK ME AS THE BRAINLIEST:)
Solution: (i)
y = 100° {opposite angles of a parallelogram}
x + 100° = 180° {Adjacent angles of a parallelogram}
⇒ x = 180° – 100°
⇒ x = 80°
Solution (ii)
x = 90° {vertical opposite angles}
x + y + 30° = 180° {angle sum property of a triangle}
⇒ 90° + y + 30° = 180°
⇒ y = 180° – 120° = 60°
also, y = z = 60° {alternate angles}
Solution (¡¡¡)
z = 80° {corresponding angle}
z = y = 80° {alternate angles}
x + y = 180° {adjacent angles}
⇒ x + 80° = 180°
⇒ x = 180° – 80° = 100°
x = z = 80° {opposite angles of a parallelogram}
Therefore, x = 80°, y = 100° and z = 80°
Solution (iv)
y = 112° {opposite angles of a parallelogram}
x = 180° – (y + 40°) {angle sum property of a triangle}
x = 28°
z = 28° {alternate angles}
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Answer:MARK ME AS THE BRAINLIEST:)
Solution: (i)
y = 100° {opposite angles of a parallelogram}
x + 100° = 180° {Adjacent angles of a parallelogram}
⇒ x = 180° – 100°
⇒ x = 80°
Solution (ii)
x = 90° {vertical opposite angles}
x + y + 30° = 180° {angle sum property of a triangle}
⇒ 90° + y + 30° = 180°
⇒ y = 180° – 120° = 60°
also, y = z = 60° {alternate angles}
Solution (¡¡¡)
z = 80° {corresponding angle}
z = y = 80° {alternate angles}
x + y = 180° {adjacent angles}
⇒ x + 80° = 180°
⇒ x = 180° – 80° = 100°
x + y + 30° = 180° {angle sum property of a triangle}
⇒ 90° + y + 30° = 180°
⇒ y = 180° – 120° = 60°
also, y = z = 60° {alternate angles}
x = z = 80° {opposite angles of a parallelogram}
Therefore, x = 80°, y = 100° and z = 80°
Solution (iv)
y = 112° {opposite angles of a parallelogram}
x = 180° – (y + 40°) {angle sum property of a triangle}
x = 28°
z = 28° {alternate angles}