Question

Pls help with question 5 please

Answer 1

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)`.