For two adjacent angels with measure x and (x+30) that make up a 90 angle what is x?

1 answer

To find the measure of two adjacent angles that make up a 90-degree angle, we can use the fact that the sum of angles in a right triangle is 90 degrees.

Let's assume the measure of the first angle is x. The measure of the second angle is (x + 30) since they are adjacent.

According to the given information, the sum of these two angles equals 90 degrees:

x + (x + 30) = 90

Combining like terms:

2x + 30 = 90

Subtracting 30 from both sides of the equation:

2x = 90 - 30
2x = 60

Dividing both sides by 2:

x = 60/2
x = 30

Therefore, the measure of the first angle (x) is 30 degrees.