What is the next term of the following sequence? 20, 10, 5, 21/2, ...
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Answer is x = 98
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.