Question

Find the value of x in the below picture

Answer 1

Answer:

43°

Step-by-step explanation:

Note

• Sum of all the angles of the triangle = 180°
• Sum of angles formed on straight line will be 180°

Line BAE

Angle BAC + angle EAC = 180°

=> Angle BAC + 87° = 180°

=> angle BAC = 180 - 87

=> Angle BAC = 93°

In triangle ABC

Angle ABC + Angle BAC + angle BCA = 180

=> 44 + 93 + Angle BCA = 180

=> 137 + angle BAC = 180.

=> Angle BAC = 180 - 137

=> Angle BAC = 43

As line AC and line ED are parallel

=> angle BAC = angle EDC

=> 43° = x