in the diagram the measure of angle one is 3X the measure of angle two is 12 X what is the measure of angle 4

144°

Step-by-step explanation:

m<1 =3x

m< 2= 12x

1&2 are supplementary angles, so

3x+12x= 180

15x=180

x= 12°

measure of angle 4 equals the measure of angle 2

because they're head opposite angles

m<4= 144°

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752