Question

bt bisects ∠abc. find the value of x. 15. angles at b: ∠abt = (5x - 17)°, ∠tbc = (3x + 14)°

Explanation:

Step1: Set angles equal (angle bisector)

$5x - 17 = 3x + 14$

Step2: Isolate x terms

$5x - 3x = 14 + 17$

Step3: Simplify and solve for x

$2x = 31$
$x = \frac{31}{2}$

Answer:

$x = 15.5$ or $x = \frac{31}{2}$