Question

PLZ HELP I NEED BY 2:00 PM ATY LEAST!!! WILL GIVE BRAINLYIST
Find the value of in each case:

Answer 1

Answer:

23°

Step-by-step explanation:

Step 1:

< GEC + < ECG + < CGE = Δ ECG    Sum of a Δ

Step 2:

< IGF = < GCE    Corresponding ∠ 's

Step 3:

14° + 180° - 4x + 78° = 180°   Substitution

Step 4:

272° - 4x = 180°     Add / Algebra

Step 5:

- 4x = - 92   Subtract 272° on both sides

Step 6:

- 92 ÷ - 4   Divide

Answer:

x = 23°

Hope This Helps :)

Answer 2

Answer:

x = 23

Step-by-step explanation:

<IGF and <ICE are congruent because they are corresponding angles of parallel lines cut by a transversal.

m<ICE = m<IGF = 14

<BEC is an exterior angle.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

m<BEC = m<EGC + m<ICE

4x = 78 + 14

4x = 92

x = 23