Question

Solve for x with an explanation please thank you

Answer 1

Answer:

x = 10

Step-by-step explanation:

The internal segment is a bisector because the two halves of the angle are marked equal.

From that we know that

$\frac{24-10}{21} = \frac{10}{2x - 5}\\~\\\frac{14}{21} = \frac{10}{2x - 5}\\~\\\frac{2}{3} = \frac{10}{2x - 5}\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10$