6x+42°=180°(ANGLES ON A STRAIGHT LINE)
![6x = 180 - 42 \\ 6x = 138 \\ (6x)/(6) = (138)/(6) \\ x = 23](https://img.qammunity.org/2023/formulas/mathematics/high-school/5hf9b3rr4n5zn16dxt61hfvbvkenjegeew.png)
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBC
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°m<DBE =90°-18°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°m<DBE =90°-18°mDBE=72°
Hope THIS helps