Use a definition, postulate, or theorem to find the value of x in the figure described.
< abc and < cbd are a linear pair. if m < abc = m < cbd = (2x - 4)º, find x.
< means angle

The value of x is 47

Step-by-step explanation:

* Lets explain the meaning of linear pair of angles

- A linear pair of angles is formed when two lines intersect

- If two angles are adjacent angles formed by two intersecting lines,

 then the two angles are a linear pair of angles

- The measure of a straight angle is 180°, then the measure of the

  linear pair of angles is 180°

- That means the sum of the measures of the two angles is 180°

* Lets solve the problem

∵ ∠ABC and ∠CBD are a linear pair angles

∴ m∠ABC + m∠CBD = 180°

- The measures of the two angles are equal

∵ m∠ABC = m∠CBD = (2x - 4)°

- To find the value of x equate the sum of them by 180

∴ (2x - 4) + (2x - 4) = 180

- Collect like terms in the left hand side

∵ (2x + 2x) + (-4 + -4) = 180

∴ 4x + -8 = 180

- Remember (+)(-) = (-)

∴ 4x - 8 = 180

- Add 8 to both sides

∴ 4x = 188

- Divide both sides by 4

∴ x = 47

∴ The value of x is 47

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.