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Sagot :

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Answer:

z = 106°

As a straight line has total 180°

Find the top inside angle:

t + 142° = 180°

t = 180° - 142°

t = 38°

Two opposite angles sum up to exterior angle.

Now find z:

68° + 38°

106°

Solution:

It should be noted:

  • The interior angles of a triangle sum up to 180°.

This means that:

  • (180 - 142) + 68 + (180 - z) = 180

Simplify the LHS.

  • 38 + 68 + (180 - z) = 180
  • 106 + (180 - z) = 180

Subtract 106 both sides.

  • -106 + 106 + (180 - z) = 180 - 106
  • => 180 - z = 74

Subtract 180 both sides.

  • => 180 - z = 74
  • => 180 - 180 - z = 74 - 180
  • => -z = -106

Divide both sides by -1.

  • -z/-1 = -106/-1
  • => z = 106

The measure of ∠z is 106°.

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