High School

Angle 1 and angle 2 are complementary angles. The measure of angle 1 is 66 degrees. The measure of angle 2 is [tex]2x[/tex] degrees. Find the value of [tex]x[/tex].

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.