Question

Can somebody help me on this?

Answer 1

Answer:

x=28

Step-by-step explanation:

From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.

Summarizing:

1. m<3 = m<4

2. m<1 = m<2

3. m<1 + m<2 + m<3 + m<4 = 360

Substituting 1 and 2 in equation three we have:

4. 2m<2 + 2m<3 = 360.

Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:

2 ( x + 84) + 2 ( 3x + 16) = 360

Solving for x:

2x + 168 + 6x + 32 = 360

8x = 224

x=28