Question

Please I really need help with this question

Answer 1

Explanation:

ABC and DEF are parallel lines. So, ∠ABE and ∠BED are co interior angles.

∠ABE + ∠BED = 180 {SUM OF CO INTERIOR ANGLE IS 180}

∠ABE+ 110.2 = 180

∠ABE = 180 - 110.2

∠ABE = 69.8

Now, ABC is straight line

∠ABE + ∠EBG + ∠CBG = 180

69.8 + ∠EBG + 34.8 = 180

104.6 + ∠EBG = 180

∠EBG = 180 - 104.6

∠EBG = 75.4

Again, DEF is straight line

∠DEB + ∠BEG + ∠GEF = 180

110.2 + ∠BEG + 25.6 = 180

∠BEG + 135.8 = 180

∠BEG = 180 - 135.8

∠BEG = 44.2

In triangle BEG,

∠BEG + x + ∠EBG = 180 { sum of all angles of triangle is 180}

44.2 + x + 75.4 = 180

x + 119.6 = 180

x = 180 - 119.6

x = 60.4