In the given figure 1.82, AB||CD, Find the values of x, y and z.

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Solution

Given: AB ∥ CD
We have, x =∠DCB= 35° (Alternate angles)
z =∠BAD= 75° (Alternate angles)
In ∆ODC, we have, y+z+35°=180° (Angle sum property)
⇒y+75+35 = 180
⇒y = 180°-110° = 70°
Thus, x = 35°, y =70° and z = 75°

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In the given figure 1.82, AB||CD, Find the values of x, y and z.

Given: AB ∥ CDWe have, x =∠DCB= 35° (Alternate angles)z =∠BAD= 75° (Alternate angles)In ∆ODC, we have, y+z+35°=180° (Angle sum property)⇒y+75+35 = 180⇒y = 180°-110° = 70°Thus, x = 35°, y =70° and z = 75°

Given: AB ∥ CD
We have, x =∠DCB= 35° (Alternate angles)
z =∠BAD= 75° (Alternate angles)
In ∆ODC, we have, y+z+35°=180° (Angle sum property)
⇒y+75+35 = 180
⇒y = 180°-110° = 70°
Thus, x = 35°, y =70° and z = 75°