The measures of the angle of a triangle are shown in the figure below. Solve for X. X° 67°

x=23 degrees

Step-by-step explanation:

We know that the sum of interior angles in a triangle is equal to 180 degrees, and we see that one of the angles is 67 and the other one is 90 degrees. So we can do this two ways, ones more complicated then the other that you may not of learned yet

The first way:

You simply do 180-67-90 to get 23

Second way:

We can use the exterior angle theorem to know that 67+x=90 degrees so you simplify on both sides and you get 23 again.

the bolded word " farsighted" could be replaced with visionary.

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.