Question

find the value of x.
x =
submit

Explanation:

Step1: Identify vertical angles

$\angle AFB = 37^\circ$, so its vertical angle $\angle DFC = 37^\circ$

Step2: Use right angle relationship

$\angle EFC = 90^\circ$, so $\angle DFC + (2x+3)^\circ = 90^\circ$

Step3: Substitute and solve for x

$37 + 2x + 3 = 90$
$2x + 40 = 90$
$2x = 90 - 40$
$2x = 50$
$x = \frac{50}{2}$

Answer:

$25$