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in the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measures (7x-20). what is the degree measure of angle BCD?

Guys I really need ur help. my test is tomorrow and I've been stuck on this question since yesterday. I literally am about to have a mental breakdown
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in the figure AB is parallel to CD BC is parallel to AE angle ABD measures 3x4 angle BCD measures 6x8 angle EDF measures 7x20 what is the degree measure of angl class=

Respuesta :

calculista

Answer:

The measure of angle BCD is [tex]68.5\°[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line

substitute the values

[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]

[tex](16x-24)\°=180\°[/tex]

[tex]16x=180\°+24\°[/tex]

[tex]16x=204\°[/tex]

[tex]x=12.75\°[/tex]

step 2

Find the measure of angle BCD

[tex]m<BCD=(6x-8)[/tex]

substitute the value of x

[tex]m<BCD=6(12.75)-8=68.5\°[/tex]

Chaniyahb05

Answer:

Step-by-step explanation:

great job!

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