The sum of two angles out of four, which are obtained by intersecting two lines, is equal

| September 10, 2021 | education

The sum of two angles out of four, which are obtained by intersecting two lines, is equal to 62-degrees. Find each of the four corners.

When two straight lines intersect, they form four corners.

The values ​​of these angles are related to each other. Equal (vertical) angles are formed in pairs, adjacent angles are also formed in pairs – angles that have one side in common, and the sum of which is 180 °.

According to the conditions of the problem, the sum of the two angles is 62 °. We understand that this cannot be the sum of adjacent angles (since this is not 180 °), respectively, this is the sum of vertical angles.

The vertical angles are equal, which means that the value of one of them is 62: 2 = 31 °.

This means that the adjacent angle is 180 ° – 31 ° = 149 °.

We got four angles – 31 °, 31 °, 149 °, 149 °.



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