Answer: x = 40, y = 50
Explanation:
In order to solve for the unknown values, you must first understand that the sum of all interior angles of a triangle is equal to 180° Knowing this, you are able to reconstruct this problem as an equation. Since more information is known about triangle ABE, first solve for the unknown value inside of it. Your equation should look like this: 45 + 50 + (2x + 5) = 180
Next, begin solving. In order to do this, simplify the equation as much as currently possible. 45 + 50 = 95 and the rest of the problem cannot be simplified further so your equation is now 95 + (2x + 5) = 180
The next step is to use inverse operations to rearrange and further simplify the equation. In other words, subtract 95 from either side. 95 - 95 undo each other while 180 - 95 = 85. So your equation is 2x + 5 = 85.
Now continue using inverse operations by subtracting 5 from either side of the equation. 5 - 5 = 0 and 85 - 5 = 80 so you are left with 2x = 80
The final step in solving for x is to divide either side by 2 since division is the inverse operation of multiplication. 2 ÷ 2 = 0 while 80 ÷ 2 = 40. Now it is known that x = 40.
Now that you know x, you can substitute x for 40 in triangle CDB and rewrite the problem as an equation. 40 + 90 + y = 180 (Note that 90 is known because that is the value of a right angle)
As before, simplify your current equation. 40 + 90 = 130 and you are left with 130 + y = 180
Now use inverse operations again and subtract 130 from either side of the equation. 130 - 130 = 0 while 180 - 130 = 50. Now you are left with y = 50
So your final answer is x = 40, y = 50