Answer :
If angle1 is 66 degrees and angle2 is 2x degrees, then since they are complementary, you solve 66 + 2x = 90. Solving this equation gives x = 12.
Complementary angles sum to 90 degrees.
Therefore:
66 + 2x = 90
To find x, solve the equation step-by-step:
Subtract 66 from both sides:
2x = 24
Divide both sides by 2:
x = 12
So, the value of x is 12 degrees.
Complete Question Given Below:
[tex]\angle1[/tex] and [tex]\angle2[/tex] are complementary angles. The measure of [tex]\angle1[/tex] is 66degrees. The measure of [tex]\angle2[/tex] is 2xdegrees. Find the value of x. The figure is not drawn to scale.