The measure of an angle is 7y. Which expression should be used to determine its supplement?
180 - 7y
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)
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°.
Which two equations can be used to determine the measure of these two adjacent angles?
(2x + 3) and (x - 6)
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.