Find the angles x,y and z in the given parallelogram. [3 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks

$∠ x = 180^{\circ} - 50^{\circ}$ [Linear pair]
$\Rightarrow ∠ x = 130^{\circ}$

$∠ y = ∠ x = 130^{\circ}$ [Opposite angles of a parallelogram are equal]

Also, $∠ z = ∠ x = 130^{\circ}$ [Corresponding angles]

$∴$ The three angles are:
$∠ x = ∠ y = ∠ z = 130^{\circ}$

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Find the angles x,y and z in the given parallelogram. [3 MARKS]

Concept: 1 Mark Application: 2 Marks ∠x=180∘–50∘ [Linear pair] ⇒∠x=130∘ ∠y=∠x=130∘ [Opposite angles of a parallelogram are equal] Also, ∠z=∠x=130∘ [Corresponding angles] ∴ The three angles are: ∠x=∠y=∠z=130∘