Question

Solve for x with an explanation please thank you

Answer 1

x = 10

Explanation:

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

From that we know that

`(24-10)/(21) = (10)/(2x - 5)\\~\\(14)/(21) = (10)/(2x - 5)\\~\\(2)/(3) = (10)/(2x - 5)\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10`