Question

Given

and
are a linear pair.
​


Find the measure of each angle.
A
�∠1=59º; �∠2=121ºm\angle 1=59º;\ \ m\angle 2=121ºm∠1=59º; m∠2=121º
B
�∠1=49º; �∠2=131ºm\angle 1=49º;\ \ m\angle 2=131ºm∠1=49º; m∠2=131º
C
�∠1=44º; �∠2=136ºm\angle 1=44º;\ \ m\angle 2=136ºm∠1=44º; m∠2=136º
D
�∠1=34º; �∠2=146ºm\angle 1=34º;\ \ m\angle 2=146ºm∠1=34º; m∠2=146º

Answer 1

[AI-generated answer — Bot GPT 3.5]

Given that ∠1 and ∠2 are a linear pair, we know that they are adjacent angles formed when two lines intersect.

By the definition of a linear pair, the sum of the measures of the angles in a linear pair is always 180º.

Therefore, we can set up the equation: ∠1 + ∠2 = 180º.

We can substitute the given measures of ∠1 and ∠2 into the equation to solve for their values.

Let's try option A: ∠1 = 59º and ∠2 = 121º.

Substituting into the equation: 59º + 121º = 180º.

However, this is not true, as 59º + 121º equals 180º.

Let's try option B: ∠1 = 49º and ∠2 = 131º.

Substituting into the equation: 49º + 131º = 180º.

This is true, as 49º + 131º does indeed equal 180º.

Therefore, the correct answer is option B: ∠1 = 49º and ∠2 = 131º.