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25 Points!
In the diagram below line FG is // to line HI, and line segments BC and AD intersect a E. The measure of angle GBE=3x+20, and measure angle ECD=x.

25 Points In the diagram below line FG is to line HI and line segments BC and AD intersect a E The measure of angle GBE3x20 and measure angle ECDx class=

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Answer:

x = 40

Step-by-step explanation:

Since FG and HI are parallel and BC is a transversal, then

∠ GBE and ∠ GBE are same side interior angles and are supplementary, thus

3x + 20 + x = 180, that is

4x + 20 = 180 ( subtract 20 from both sides )

4x = 160 ( divide both sides by 4 )

x = 40

Answer:

40

Step-by-step explanation:

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