Question

In circle C, the inscribed angle DEF measures (4x + 17)" and DF measures (9x + 25)°. What is the value of x? O x=9 x=5 Ox=1.6 x=4

Answer 1

The sketch of the question is given below

Using the principle:

Then

$9x+25=2\times(4x+17)$

Simplifying the expression

$\begin{gathered} 9x+25=8x+34 \\ \text{collect like terms} \\ 9x-8x=34-25 \\ x=9 \end{gathered}$

The value of