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MrRa [10]
3 years ago
12

Z > 34. Which of the following statements is the best way to describe the value of z?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
<span>The value of z is more than 34. 
</span>
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m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

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x° = 30°

x = 30

Hence option C is the correct answer.

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