SOLUTION: <1 and <2 are vertical angles. Find the measure of each angle. m<1= 2x+10, m<2= 3x-40.
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Question 1052633: <1 and <2 are vertical angles. Find the measure of each angle. m<1= 2x+10, m<2= 3x-40.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Rule: Vertical angles are congruent (i.e. equal)
Since angle 1 and angle 2 are congruent, this means that the measures of the angles are equal.
m < 1 = m < 2
2x+10 = 3x-40
2x+10-2x = 3x-40-2x
10 = x-40
10+40 = x-40+40
50 = x
x = 50
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Now let's use the value of x to find the measure of each angle
m < 1 = 2x+10
m < 1 = 2*50+10
m < 1 = 100+10
m < 1 = 110
Angle 1 is 110 degrees.
Angle 2 is also 110 degrees. Notice how plugging x = 50 into the other equation also yields 110
m < 2 = 3x-40
m < 2 = 3*50-40
m < 2 = 150-40
m < 2 = 110
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Final Answers:
Angle 1 is 110 degrees. Angle 2 is 110 degrees
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