In the given figure segments shown by arrow heads are parallel. Find the values of x and y.

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Solution

$x^{\circ} = 30^{\circ}$ (Alternate angles)
$y^{\circ} = {x^{\circ} + 45}^{\circ}$ (Exterior angle of triangle is equal to sum of interior opposite angles)
$y^{\circ} = {30^{\circ} + 45}^{\circ} y^{\circ} = 75^{\circ}$

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In the given figure segments shown by arrow heads are parallel. Find the values of x and y.

x∘=30∘ (Alternate angles)y∘=x∘+45∘ (Exterior angle of triangle is equal to sum of interior opposite angles)y∘=30∘+45∘y∘=75∘

$x^{\circ} = 30^{\circ}$ (Alternate angles)
$y^{\circ} = {x^{\circ} + 45}^{\circ}$ (Exterior angle of triangle is equal to sum of interior opposite angles)
$y^{\circ} = {30^{\circ} + 45}^{\circ} y^{\circ} = 75^{\circ}$