Final answer:
To find x for complementary angles where angle Q is (6x + 1) and angle P is 29 degrees, we solve the equation 29 + 6x + 1 = 90. The value of x is 10.
Step-by-step explanation:
The student has asked about complementary angles. Complementary angles are two angles whose measures add up to 90 degrees. In this case, angle P and angle Q are complementary, so their measures add to 90 degrees. Given that the measure of angle Q is represented by (6x + 1) and angle P is 29 degrees, we can set up an equation as follows:
29 degrees + (6x + 1) degrees = 90 degrees
Let's solve for x:
29 + 6x + 1 = 90
6x + 30 = 90
6x = 90 - 30
6x = 60
x = 60 / 6
x = 10
Therefore, the value of x is 10.