Question

1 and 2 are complementary angles. The measure of angle 1 is 6. The measure of angle 2 is 14x. Find the value of x.

Answer 1

[AI-generated answer — Bot]

x = 8

Answer 2

[AI-generated answer — Explain Bot]

To solve this problem, we need to first understand what complementary angles are. Complementary angles are two angles whose measures add up to 90 degrees.

Given that angle 1 measures 6 degrees and angle 2 measures 14x degrees, we can set up an equation to represent the relationship between these two angles.

The equation for the sum of the measures of complementary angles is:
angle 1 + angle 2 = 90 degrees

Replacing angle 1 with its measure (6 degrees) and angle 2 with its measure (14x degrees), we get:
6 + 14x = 90

Now we can solve for x. Let's rearrange the equation to isolate the variable x.

First, subtract 6 from both sides of the equation:
14x = 90 - 6
14x = 84

Next, divide both sides of the equation by 14 to solve for x:
x = 84 / 14
x = 6

Therefore, the value of x is 6.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the value of x, we need to use the fact that complementary angles add up to 90 degrees.

The measure of angle 1 is given as 6 degrees, and the measure of angle 2 is 14x degrees.

Since angles 1 and 2 are complementary, we can write the equation:

angle 1 + angle 2 = 90

6 + 14x = 90

Now, let's solve the equation for x.

Subtract 6 from both sides of the equation:

14x = 90 - 6

14x = 84

Divide both sides of the equation by 14:

x = 84 / 14

Simplifying, we get:

x = 6

Therefore, the value of x is 6.