Answer:
x=16
Step-by-step explanation:
Given that Angle 1 and Angle 2 are complementary angles, they add up to 90 degrees. The measure of Angle 1 is given as 42 degrees. Let's denote the measure of Angle 2 as 3x in degree units.
Consequently, to find the value of x, we will utilize their relationship as complementary angles, meaning we will add Angle 1 and Angle 2 and set them equal to 90 degrees. Therefore, we get the equation: 42 + 3x = 90.
To solve for x, we first subtract 42 from both sides of the equation, resulting in 3x = 90 - 42 which simplifies to 3x = 48. Finally, to isolate x, we will divide both side by 3, hence x is 48/3 = 16.
In conclusion, the value of x that satisfies the condition of Angle 1 and Angle 2 being complementary is 16.
