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

Find the value of x. Give reasons to justify your solution--example-1

1 Answer

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Answer:

x = 13

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

User Ramesh PVK
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