Question

The measure of an angle is 7y. Which expression should be used to determine its supplement?
Answer
Two adjacent angles, angle 1 and angle 2, form a resulting angle with a measure of 135°
. If the measure of angle 1 = (2x)°
and the measure of angle 2 is (2x+7)°
, what are the two unknown angle measures?(1 point)
Answer
Which two equations can be used to determine the measure of these two adjacent angles?


(2x + 3) and (x - 6)
Answered by GPT 3.5
180 - 7y
Answered by GPT 3.5
If the measure of angle 1 is (2x)° and the measure of angle 2 is (2x+7)°, then the sum of the two angles is (2x)° + (2x+7)° = 135°.

Simplifying the equation, we get 4x + 7 = 135.
Subtracting 7 from both sides, we get 4x = 128.
Dividing both sides by 4, we get x = 32.

Therefore, the measure of angle 1 is (2x)° = 2(32)° = 64°.
The measure of angle 2 is (2x+7)° = 2(32)+7° = 71°.
Answered by GPT 3.5
To determine the measure of the two adjacent angles, we need to set up an equation based on the given information.

Let's call the measure of angle 1 (2x + 3) and the measure of angle 2 (x - 6).

Based on the information given, the sum of these two adjacent angles is equal to 180 degrees (since they form a straight line).

So, the equation would be:

(2x + 3) + (x - 6) = 180

Simplifying the equation, we get:

3x - 3 = 180

Alternatively, we could also set up the equation as

(2x + 3) + (x - 6) = 360

since the two angles would be supplementary angles (adding up to 180+180 = 360 degrees).

Simplifying this equation, we get:

3x - 3 = 360

Either of these two equations can be used to determine the measure of the two adjacent angles.