Solve each problem below for x m angle FCD x 41 m BCF x

Solve each problem below for x. m angle FCD = x + 41, m BCF = x + 78, and m BCD = 95 degree. Find x. Find x if m LMN = 135 degree, m LMV = -1 + 45x, and m VMN = 23x.

Solution

All answers explained below. In case you have doubts don\' hesitate to leave comment on the question.

1.BCD = 95 = FCD + BCF = x+41+x+78
95 = 2x+119
2x = -24
x = -12

2. LMN = LMV+VMN
135 = -1+45x+23x
136 = 68x
x =2

3. 2+3x and 62 are angles made by same sides. They are equal as they are therefore opposite angles

So, 2+3x = 62
3x=60
x=20

4. We know round the center the total angle is 360
So, x-24+29+296 = 360
x+301=360
x = 59