One of the angles formed at the intersection of two straight lines is 22 ° smaller than the other. Find the resulting corners.
June 11, 2021 | education
| When two straight lines intersect, 4 angles are formed – oppositely equal. Adjacent angles (adjacent) are always 180 °. Let’s take the smaller angle as x ° and create the equation:
x + (x + 22 °) = 180 °;
x + x + 22 ° = 180 °;
2x + 22 ° = 180 °;
2x = 180 ° – 22 °;
2x = 158 °;
x = 158 ° / 2;
x = 79 ° – smaller angle,
Then the larger angle is 22 ° larger:
79 ° + 22 ° = 101 ° – larger angle.
Answer: 79 °, 79 °, 101 °, 101 °
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