Answer:
Option (4)
Step-by-step explanation:
By the property of congruence of the triangles given in the figure,
ΔCDE ≅ ΔHFG
By applying triangle sum theorem in ΔCDE,
m∠C + m∠D + m∠E = 180°
32° + 112° + m∠E = 180°
m∠E = 180° - 144°
m∠E = 36°
Corresponding side and angles of two congruent triangles are equal in measure.
Therefore, m∠E = m∠G
36° = (4y + 8)°
4y = 36 - 8
4y = 28
y = 7
Similarly, FG = DE
41 = 3x + 2
3x = 41 - 2
3x = 39
x = 13
Therefore, Option (4) will be the correct option.
