Question

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

Answer 1

Answer:

m<U = $97^{o}$

Step-by-step 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 = $\frac{176}{16}$

  = $11^{o}$

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

                                        = 8(11) + 9

                                        = 88 + 9

                                        = $97^{o}$

Thus, the measure of angle U is $97^{o}$.