Question 958474
L=larger angle; S=smaller angle=L-4
L+S=90 degrees Substitute for S
L+L-4=90 degrees Add 4 to each side
L+L=94 degrees
2L=94 degrees Divide each side by 2.
L=47 degrees ANSWER 1: The larger angle is 47 degrees
S=L-4=47-4=43 degrees ANSWER 2: The smaller angle is 43 degrees.
CHECK:
L+S=90 degrees
47 degrees + 43 degrees=90 degrees
90 degrees=90 degrees