Question

A right angle is formed by two adjacent angles with measures of (x)° and (x+30)° . What are the two angle measures?(1 point)

Responses

70° and 25°
70 degrees and 25 degrees

60° and 90°
60 degrees and 90 degrees

75° and 105°
75 degrees and 105 degrees

30° and 60°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To form a right angle, the two adjacent angles must add up to 90 degrees.

Set up an equation:
x + (x+30) = 90

Combine like terms:
2x + 30 = 90

Subtract 30 from both sides:
2x = 60

Divide both sides by 2:
x = 30

So the two angle measures are:
30 degrees and 30 + 30 = 60 degrees

Answer 2

why

Answer 3

[AI-generated answer — Bot GPT 3.5]

Because a right angle is defined as an angle that measures exactly 90 degrees. In this case, the two adjacent angles need to add up to 90 degrees in order to form a right angle.

So, if one angle is x degrees, and the other angle is x + 30 degrees, the equation to represent the sum of the angles would be x + (x + 30) = 90.

Simplifying this equation gives 2x + 30 = 90. Solving for x, we subtract 30 from both sides to get 2x = 60, and then divide both sides by 2 to give x = 30.

Therefore, one angle measures 30 degrees, and the other angle measures x + 30, which is 30 + 30 = 60 degrees. So the two angle measures are 30 degrees and 60 degrees, forming a right angle.