To support a young tree, you attach wires from the trunk to the ground. The abtuse angle the wire makes with the ground is supplementary to the acute angle the wire makes, and it is three times as large. find the measures of the angles?
Thank you for yr response
A + 3 A = 180
4 A = 180
A = 45
180 - A - 135
Now try some of these yourself.
To find the measures of the angles, let's assign variables to the unknown angles.
Let's call the measure of the acute angle x degrees.
According to the problem statement, the abtuse angle is three times as large as the acute angle. So, the measure of the abtuse angle will be 3x degrees.
Now, we know that the supplementary angles add up to 180 degrees. Therefore, we can set up an equation:
x + 3x = 180
Simplifying the equation, we combine like terms:
4x = 180
Next, we solve for x by dividing both sides of the equation by 4:
x = 180/4
x = 45
So, the measure of the acute angle is 45 degrees.
To find the measure of the abtuse angle, we substitute the value of x:
3x = 3(45) = 135
Therefore, the measure of the abtuse angle is 135 degrees.