Question

Hint: Find the value of x first, then subsitute the answer into 2x- 24.

Answer 1

Step-by-step explanation:

$\because \: \angle \: BCD = \angle \: BFG \\ (corresponding \: angles) \\ \therefore \: x + 26 \degree = 2x - 24\degree \\ \therefore \: x - 2x = - 26 \degree- 24\degree \\ \therefore \: - x = - 50\degree \\ \therefore \: x = 50\degree \\ \\ \therefore \: m \: \angle \: BFG = 2x - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 50\degree - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 100\degree - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 76\degree \\ Hence, \\ \huge \red{ \boxed{ \: m \: \angle \: BFG =76\degree }}$