Angle's complement: x
Angle: 2x - 12 (12 less than twice its complement)
Sum of measure of complementary angle: 90°
Equation:
x + 2x - 12 = 90
3x - 12 = 90
3x = 90 + 12
3x = 102
3x/3 = 102/3
x = 34° the angle's complement, smaller angle
For the angle, substitute 34 for x:
Angle = 2x - 12 (12 less than than twice the angle's complement )
= 2 (34) - 12
= 68 - 12
= 56°
Answer: The angle is 56°.
Check:
Angle + Angle's Complement = 90°
56° + 34° = 90°
90° = 90° √
