Question

Please help me with these geometry problem. It is urgent as i have exam in the next week. I have given the answers also along with the questions and please try to explain how you are doing if possible.

Answer 1

In the given figure first Angle B + 64 degree is equals to 180 degree as linear pair
Therefore Angle B i= 180 - 64
that is B = 116...... (1)

Now, 2 X + Y - 70 = a + x + 12..... vertically opposite angles
So X + Y = 82 + A
But X + Y = 150 degree.... given
So 150 = 82 + a
Therefore, A= 150 - 82

Now b is equals to a + X + 12
By substituting values of a and b
B =a + X + 12
116= 68 + x + 12
X = 116 - 80
X=36............ (3)
Substitute value of x in x + Y =150
Therefore 36 + Y = 150
Y=114.......... (4)