What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
P ( m ) = 0.82 P ( a ) = 0.76 P ( m or a ) = 0.96 P ( m and a ) = ? -------------------------- P ( m or a ) = P ( m ) + P ( a ) - P ( m and a ) P ( m and a ) = P ( m ) + P ( a ) - P ( m or a ) = = 0.82 + 0.76 - 0.96 = 0.62 Answer: P ( marinara and alfredo ) = 0.62
