Question

If angle U = 8x + 9 degrees, and angle W = 8x - 5 degrees, then the measure of angle U is ___ degrees.

Answer 1

m<U =
`97^(o)`

Explanation:

From the given question, it can be observed that angles U and W are supplementary. These are angles that add up to
`180^(o)`.

So that;

<U + <W =
`180^(o)`

(8x + 9) + (8x - 5) =
`180^(o)`

16x + 4 =
`180^(o)`

16x =
`180^(o)` - 4

16 x = 176

x =
`(176)/(16)`

=
`11^(o)`

The measure of angle U = (8x + 9)

= 8(11) + 9

= 88 + 9

=
`97^(o)`

Thus, the measure of angle U is
`97^(o)`.