Question

What is the measure of

Answer 1

<bac=30°

Explanation:

<bac=<ead (being vertically oppoaite angles)

(x+10)=(2x-10)

10+10= 2x-x

20°=x

now

<bac=(x+10)°

<bac=(20+10)°

so,<bac=30°

Answer 2

30 degrees

Explanation:

∠BAC= ∠DAE (vert. opp. ∠s)

(x +10)°= (2x -10)°

x +10= 2x -10

Bring constants to 1 side, x terms to the other:

2x -x= 10 +10

x= 20 (simplify)

∠BAC= (x +10)°

∠BAC= (20 +10)° (substitute x=20)

∠BAC= 30°