Question

BX bisects ZABC. If mZXBC = (4x + 7)º and MZABX = (5x -20).
Find x and the mZXBC.

Answer 1

To find x and the measure of angle ZXBC (mZXBC), we can use the fact that BX bisects angle ZABC. This means that mZABX and mZXBC are equal. Solving the equation (4x + 7)° = (5x - 20)°, we find that x = 27 and mZXBC = 125°.

Step-by-step explanation:

To find x and the measure of angle ZXBC (mZXBC), we can use the fact that BX bisects angle ZABC. This means that mZABX and mZXBC are equal. Setting up an equation using these angles:

(4x + 7)° = (5x - 20)°

Solving this equation, we find that x = 27 and mZXBC = (5 * 27 - 20) = 125°.