Question

Answer 5 questions on the bottom right side.​

Answer 1

Answer:

1)m<ABH=121°

2)m<GDF=59°

3)X=35

4)m<ABC=59°

5)m<EDA=59°

Step-by-step explanation:

1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other

5x-54=3x+16

5x-3x-54=3x-3x+16

2x-54=16

2x-54+54=16+54

2x=70

2x/2=70/2

X=35

2. Now plug in X to each equation to test if it works

5(35)-54=3(35)+16

175-54=105+16

121=121

3. Now replace the two expressions with 121

4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.

5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16

NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.