Question

If NP bisects angle MNQ, m∠MNQ = m(8x - 12), m∠PN1 is:

a) 4x - 6
b) 4x - 12
c) 8x - 12
d) 16x - 24

Answer 1

To find the measure of angle PN1 when NP bisects angle MNQ, we can set up the equation m∠MNQ = 2(m∠PN1) and solve for m∠PN1.

Step-by-step explanation:

To find the measure of angle PN1, we can use the fact that NP bisects angle MNQ. This means that the measure of angle MNQ is equal to twice the measure of angle PN1. So, we can set up the equation: m∠MNQ = 2(m∠PN1).

Given that m∠MNQ = 8x - 12, we can substitute this into the equation: 8x - 12 = 2(m∠PN1).

Simplifying the equation, we get: 4x - 6 = m∠PN1. Therefore, the measure of angle PN1 is 4x - 6. So, the correct answer is option a) 4x - 6.