the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Final answer:

Given that angle 1 and angle 2 forms a linear pair and angle 1 is twice angle 2, we can calculate angle 1 to be 120 degrees.

Explanation:

The subject of this question is Mathematics, specifically geometry. A linear pair of angles means that the two angles add up to 180 degrees. If the measure of angle 1 is twice the measure of angle 2 as stated in the question, we can represent this in equation form as 2x (angle 1) + x (angle 2) = 180.

Combining like terms, we get 3x = 180. Now, solve for x by dividing both sides by 3. Therefore, x equals 60 degrees. But the question asks for the measure of angle 1, so we substitute x into the equation 2x = angle 1. Therefore, angle 1 is 120 degrees (2 * 60).

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