two supplementary angles. the first angle is 34 more than the second angle. find the measure of the second angle
Question
Two supplementary angles
The first angle is 34 more than the second angle.
Find the measure of the second angle.
Solution
Step 1: Understand the problem We know that supplementary angles are two angles that add up to 180 degrees. The problem states that the first angle is 34 degrees more than the second angle.
Step 2: Set up the equation Let's denote the second angle as x. Therefore, the first angle would be x + 34. Since they are supplementary, we can set up the following equation:
x + (x + 34) = 180
Step 3: Solve the equation Combine like terms:
2x + 34 = 180
Subtract 34 from both sides:
2x = 146
Divide both sides by 2:
x = 73
So, the measure of the second angle is 73 degrees.
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