Question

Use the illustration to solve for the value of n if m∠6 = -4 + 5n and m∠7 = 18 + 3n.

A. n = -12

B. n = -11

C. n = 11

D. n = 1.5

Answer 1

To find the value of n, set up the equation -4 + 5n = 18 + 3n and solve for n. The value of n is 11.

Step-by-step explanation:

To solve for the value of n, we need to set up an equation using the given angles.

From the illustration, we have:

m∠6 = -4 + 5n

m∠7 = 18 + 3n

To find the value of n, we can set the two expressions equal to each other:

-4 + 5n = 18 + 3n

Simplifying the equation, we get:

2n = 22

n = 11

Therefore, the value of n is 11.