The measure of one angle in a linear pair is 30 more than twice the measure of the other angle. Find the measure of the angles.
(I really need help! Thanks)
You really need more data.
If one = x, the other = 2x+30.
180=x+2x+30
180=3x+30, 180-30=3x+30-30
150=3x, 150/3=3x/3
50=x
Kay ny
To find the measure of the angles in this linear pair, let's break down the information given.
Let's assume that the measure of one angle is x degrees. According to the question, the measure of the other angle is 30 more than twice the measure of the first angle.
So, the measure of the second angle can be expressed as 2x + 30 degrees.
Since the sum of the measures of two angles in a linear pair is always 180 degrees, we can set up an equation:
x + (2x + 30) = 180
Simplify the equation:
x + 2x + 30 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
Divide both sides of the equation by 3:
x = 150 / 3
x = 50
Now, substitute the value of x back into one of the angle expressions:
First angle = x = 50 degrees
Second angle = 2x + 30 = 2(50) + 30 = 100 + 30 = 130 degrees
So, the measure of the angles in the linear pair is 50 degrees and 130 degrees.