Two angles are supplementary. The measure of one is 30 more than twice the measure of the other. Find the measure of the larger angle.......... Please help ! I need this answer!

a = smaller angle

a + 2a + 30 = 180

Well, if two angles are supplementary, it means that their measures add up to 180 degrees. Let's say the measure of one angle is x degrees. According to the information given, the measure of the other angle is 30 more than twice x. So, we can write the equation:

x + (2x + 30) = 180

Combining like terms, we have:

3x + 30 = 180

Subtracting 30 from both sides:

3x = 150

Dividing both sides by 3:

x = 50

So, the measure of the larger angle (2x + 30) would be:

2(50) + 30 = 130 degrees

Voila! The larger angle measures 130 degrees.

Let's represent the two angles as x and y, where x is the larger angle.

We're given that the angles are supplementary, which means their measures add up to 180 degrees. So we can write the equation:

x + y = 180

We're also given that the measure of one angle (x) is 30 more than twice the measure of the other angle (y). So we can write another equation:

x = 2y + 30

Now we can solve the system of equations to find the values of x and y.

Substituting the value of x in terms of y from the second equation into the first equation, we get:

(2y + 30) + y = 180

Combining like terms, we have:

3y + 30 = 180

Subtracting 30 from both sides, we get:

3y = 150

Dividing both sides by 3, we have:

y = 50

Now substituting the value of y back into the second equation, we can solve for x:

x = 2(50) + 30
x = 100 + 30
x = 130

Therefore, the measure of the larger angle (x) is 130 degrees.

To find the measure of the larger angle, we need to first set up an equation based on the given information.

Let's say one angle is x degrees. According to the problem, the other angle is 30 more than twice the measure of the first angle. So the second angle can be represented as 2x + 30 degrees.

Since the two angles are supplementary, their sum must be 180 degrees. We can set up the equation:

x + (2x + 30) = 180

Now we can solve the equation to find the value of x, which represents the smaller angle:

3x + 30 = 180
3x = 150
x = 50

The smaller angle (x) is 50 degrees.

To find the larger angle, substitute the value of x back into the equation:

2x + 30 = 2(50) + 30 = 130

Therefore, the measure of the larger angle is 130 degrees.