Question

Angle 1 and 2 are supplementary angles. If the measure of angle 1 is 35 what is the measure of angle 2

Answer 1

Explanation:

If angles 1 and 2 are supplementary, it means that the sum of their measures is 180 degrees.

Given that the measure of angle 1 is 35 degrees, we can use the equation:

angle 1 + angle 2 = 180

Substituting the given value:

35 + angle 2 = 180

Now, solving for angle 2:

angle 2 = 180 - 35

angle 2 = 145

Therefore, the measure of angle 2 is 145 degrees

Answer 2

∠2 = 145°

Explanation:

Key Concept

The sum of two supplementary angles is always 180°.

So, when we're setting up our equation to solve for the unknown angle, the right-hand side of the equation is going to be 180.

In this case, angles 1 and 2 are supplementary.

Therefore,
`\angle1+\angle2=180`.

Now, the measure of ∠1 is 35, therefore:

`35+\angle2=180`

Subtract 35 from both sides:

`\angle2=180-35`

`\angle2=145\textdegree`

Therefore, the measure of angle 2 is 145 degrees.