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Mathematics 15 Online
OpenStudy (yournightmare):

In the diagram m∠3 = x + 30 and m∠4 = 2x - 80. What is the measure of angle 3? 50 80 110 140

jimthompson5910 (jim_thompson5910):

Angle 3 and angle 4 are `vertical angles` https://www.mathsisfun.com/geometry/vertical-angles.html so this means that they are congruent angles. In other words, m < 3 = m < 4 x+30 = 2x - 80 solve for x

jimthompson5910 (jim_thompson5910):

Once you know what x is, replace x with that number in x+30 to find the final answer.

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