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Pls help with question 5 please

Pls help with question 5 please-example-1
User Makiko
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Answer: d

Explanation:

Let x be the smaller angle and y be the larger angle. Since the measure of the larger angle y is 8 times the measure of the smaller angle x, it follows:


y=8x

Since x and y form a linear pair, so the sum of their measures is equal to 180 degrees as follows:


x+y=180^(\circ)\\x+8x=180^\circ\\9x=180^\circ\\x=20^(\circ)

Then, it follows:


y=8x=8\cdot 20^(\circ)=160^(\circ)

So, the measure of the larger angle is
160^(\circ).

User Hasya
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