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lana66690 [7]
3 years ago
14

Pleaseeeeeeeeee help meeeeeeee

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
The best answer is C : The sum of the measures of two angles os 180 degrees . 

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10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

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m\angle XYZ=90^{\circ}

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\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

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\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

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