The problem states that angle 6 and angle 8 are complementary. The measure of angle 8 is given as 47 degrees. We are asked to find the measure of angle 6. Two angles are complementary if the sum of their measures is 90 degrees.

1. Problem Description

The problem states that angle 6 and angle 8 are complementary. The measure of angle 8 is given as 47 degrees. We are asked to find the measure of angle

6. Two angles are complementary if the sum of their measures is 90 degrees.

2. Solution Steps

Let $m\angle 6$ be the measure of angle 6 and $m\angle 8$ be the measure of angle

8. We are given that angles 6 and 8 are complementary, so

$m\angle 6 + m\angle 8 = 90^{\circ}$.

We are given that $m\angle 8 = 47^{\circ}$.

Substituting the given value into the equation, we get:

$m\angle 6 + 47^{\circ} = 90^{\circ}$.

To find $m\angle 6$, we subtract $47^{\circ}$ from both sides of the equation:

$m\angle 6 = 90^{\circ} - 47^{\circ}$.

$m\angle 6 = 43^{\circ}$.

3. Final Answer

The measure of angle 6 is 43 degrees.