In a certain linear pair, one angle

measures three less than twice as much as the other.

Draw the diagram that you would draw to

represent this linear pair.

Question

Answered

Verified Answer :

Hussain514 Hussain514 · Answer 1 · 2016-06-19T12:16:44-04:00

A linear pair of angles forms a straight line, so it's another way of saying that they are supplementary or add to 180 degrees.

So, one angle is: 2x - 3
where the other one is: "x"

Add those 2 together, set the sum equal to 180, and then solve for "x".

Answer Link

wifilethbridge wifilethbridge · Answer 2 · 2019-06-18T04:38:19-04:00

Answer:

∠ABD = 61° and ∠DBC =119°

Step-by-step explanation:

Linear Pair: Two adjacent angles are said to form a linear pair angles , if their non-common arms are two opposite rays.

The sum of adjacent angles is 180°.

Refer the attached figure

Let ∠ABD be x

Since we are given that In a certain linear pair, one angle measures three less than twice as much as the other.

So, ∠DBC = 2x-3

Since ∠ABD and ∠DBC are linear pairs

So, ∠ABD + ∠DBC =180°

$x+2x-3=180^{\circ}$

$3x-3=180^{\circ}$

$3x=183$

$x=\frac{183}{3}$

$x=61$

So, ∠ABD = 61°

Now ∠DBC = 2x-3 = 2(61) -3 =119°

Hence ∠ABD = 61° and ∠DBC =119°

Refer the attached figure.