∠abc and ∠cbd are a linear pair. if m∠abc = m∠cbd = (3x − 6)°, find x.

Value of x is 32.

Step-by-step explanation:

Given:

∠ABC and ∠CBD are a linear pair.

m∠ABC = m∠CBD = (3x − 6)°

To find: Value of x.

We know that Sum of angles of linear pair is 180°

So,

∠ABC + ∠CBD = 180°

3x - 6 + 3x - 6 = 180

6x - 12 = 180

6x = 180 + 12

6x = 192

x = 192/6

x = 32

Therefore, Value of x is 32.

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the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: