Answer:
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°
Answer:
The number of girls in Mr Brown's Class were:
7
Step-by-step explanation:
Let the number of girls in Mr. Browns Class be 'x'
Then the number of girls in Mrs Pitt's Class are: x+4
( Since,it is given that:
there are 4 more girls in Mrs Pitt's class than Mr browns class )
Now, five girls moved from Mrs Pitt's class to Mr browns class.
This means that now,
The number of girls in Mr Browns class are: x+5
and Number of girls in Mrs Pitts class are: x-1
( Since, x+4-5=x-1)
Now, as we are given that:
There are twice as many girls in Mr browns class as there are in Mrs Pitt's this means that:
x+5=2(x-1)
x+5=2x-2
2x-x=5+2
x=7
Hence, the number of girls in Mr Brown's Class were:
7 girls.
A
x=75°
B
We know that ∠EFG=∠ABF because they are corresponding angles.
We also know that ∠x+∠ABF=180, because angles along a straight line always equal 180:
x+105=180
x=75°