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2 years ago

Everything is in the screen shoot

Mathematics

2 answers:

sattari [20]2 years ago

4 0

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°

Nostrana [21]2 years ago

3 0

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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