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The measure of the supplementary of an angle is 60 less than three times the measure of an angle?
Two supplementary angles add up to 180 degrees. If one of the angles is x degrees, then the other angle will be 3x - 60. So we have: x + 3x - 60 = 180 4x - 60 + 60 = 180 + 60 4x = 240 4x/4 = 240/4 x = 60 3x - 60 = 3(60) - 60 = 120 Thus, the angles have measures of 60 and 120 degrees.
How many 30 degree angles make a right angle?
3
What is a counterexample for all intersecting lines form right angles?
Say angle 1 is 40 which means that if angle 3 is congruent then angle 3 is also 40 by definition of vertical angles. That would make angle 2 equal to 140 by definition of a linear pair and so angle 4 is congruent by vertical angles.
How many angles in the letter f?
3 angle
Two angles are supplementary three times the measure of the smaller angle is five less than twice of the measure of the larger angle find the measure of each angle?
The angles are supplementary ===> A + B = 180 ===> A = 180 - B. Next statement: 3A = 2B - 5 (We don't know or care yet which one is larger, nor do we need to. That will come out on its own.) Substitute the first into the second: 3(180-B) = 2B-5 ===> (540-3B) = (2B-5 ) ===> 540 = 5B-5 ===> 545 = 5B109 = B ===> 71 = A
