Question

Find the value of x. Give reasons to justify your solution-

Answer 1

Answer:

x = 13

Step-by-step explanation:

Since AD is a straight line, then the 3 angles at C sum to 180° , thus

∠ BCE = 180° - (90 + 64)° = 180° - 154° = 26°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABE is an exterior angle of the triangle, thus

3x = x + 26 ( subtract x from both sides )

2x = 26 ( divide both sides by 2 )

x = 13