Question

m∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

Answer 1

The corresponding angles between parallel lines and a transversal are equal. The value of x is 17

Given that:

$\angle DFG = (2x +6)^o$

$\angle EFG = (3x -11)^o$

From the complete question, both angles are corresponding angles.

This means that they are congruent

So:

$\angle EFG = \angle DFG$

This gives:

$(3x -11)^o=(2x + 6)^o$

$3x -11 = 2x + 6$

Collect like terms

$3x - 2x = 11 + 6$

$x = 17$

Hence, the value of x is 17

Read more about corresponding angles at:

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