In the figure below, angles A and B are congruent and sides AB and BE are congruent. What is the sum of the measures of angles X and Y?

*Solution to yesterday’s problem:*

Classy Clothiers charges $10 per month with a $25 initial fee. Terrific Tailors charges $15 per month. Using *t* to represent time and *C* to represent cost, we can write the equation for Classy Clothiers as follows:

*C*= 10

*t*+ 25

and for Terrific Tailors:

*C*= 15

*t*

Since the problem asks for the value of *t* so that the two costs are equal, let’s set the equation so that the cost for Classy Clothiers equals the cost for Terrific Tailors.

10

*t*+ 25 = 15*t*To solve this equation, subtract 10*t*, then divide both sides by 5 to get *t* = 5. So the costs for both subscriptions will be the same after *5 months*.

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