Find the undeveloped angles obtained at the intersection of two straight lines if the difference between two of them is 39 °.
When two straight lines intersect, 4 undeveloped corners are formed. Those that are not adjacent to each other are called vertical, and they are equal. That is, two pairs of vertical identical angles are formed. They are all undeveloped. Let’s denote the smaller adjacent angle by the letter x, compose and solve the equation:
(180 – x) – x = 39 °;
180 – x – x = 39;
180 – 2x = 39;
180 – 39 = 2x;
2x = 141;
x = 141/2;
x = 70.5 ° – a smaller angle formed at the intersection of straight lines;
Since the larger angle is 39 ° more, it is equal to 70.5 ° + 39 ° = 109.5 °.
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