Rosalinda examined the angles at right and wrote the equation below.

a.  Does her equation make sense? If so,  explain why her equation  must be true.  If it  is not correct, determine what is incorrect and rewrite the equation.

b.  If you have not already done so, solve her equation, clearly showing all your  steps. What are the measures of the two angles?

c.  Verify  that your answer is correct.

The figure is attached below

Given : (2x+1) + (x-10) = 90

(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.

(b) solve for x,  (2x+1) + (x-10) = 90

2x+1 + x-10 = 90 ( combine like terms)

3x -9 = 90 (add 9 on both sides)

3x = 99

x = 33

One angle is 2x+1 = 2(33) +1 = 67 degrees

Another angle = x-10 = 33-10 = 23 degrees

(c) one angle + another angle = 90

67 + 23 = 90

So verified

answer4 to the second power is 16

and 4 to the third power is 64,