Question

Please help me!!!! Please show work!!!

Answer 1

Angle A = 40 degrees

Angle B = 80 degrees

Measure BCF = 120 degrees

Measure EFD = 60 degrees

Explanation:

Angle A:

Ok, so we know angle A is congruent to angle D because of the line. If you make an equation out of it, you get 2x+20 = 3x+10. If you solve this equation:

2x + 20 = 3x + 10

20 = x+10

10 = x

you will get x=10. Plug it into the equation, and Angle A = 40 degrees.

Angle B:

The two lines that are both on angle B and E mean that they are congruent. We know that angle E = 80 degrees, so angle B does too.

Measure BCF:

We know that Angle A = 40 degrees, and angle B = 80 degrees. The degree sum of all angles in a triangle is 180 degrees.

80 + 40 = 120

180 - 120 = 60

So measure BCA = 60 degrees.

That angle is on a straight line. Two angles on a straight line add up to 180 degrees.

180 - 60 = 120.

So, Measure BCF = 120 degrees.

Measure EFD:

We already found measure BCA while finding measure BCF, and that is just congruent to EFD.

So, measure EFD = 60 degrees

Answer 2

B=80 A=40 EFD=60 BCF=120

Explanation:

First off chill. Second off B=80 A=40 EFD=60 BCF=120. It is quite simple. The congruency marks give the first angle away and you solve from there. If you need help I would do more research because this is important for later units. Also the triangles are congruent.