An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

and

Recall that Angles that are complementary to each other add up to .

Let be the measure of the complementary angle.

If an angle is more than its complementary angle, the measure of that angle is . The sum of both angles are expressed but since the have to add to as they are complementary, .

Solving for :

Since the other angle measures , we can plug in the value of to find the measure of the angle.

Evaluating :

The measure of the angles are and

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

idk

step-by-step explanation:

i don't know