One of the angles obtained at the intersection of two parallel secant lines is 48, find the remaining 7 angles.
| September 19, 2021 | education
It is known from the condition that one of the angles obtained at the intersection of two parallel secant lines is 48 °. We need to find the remaining 7 corners.
Two pairs of cross-lying inner angles are equal to 48 °.
That is, two angles for one straight line and two angles for a second parallel straight line.
To find the degree measure of the remaining angles, we apply the theorem on the sum of adjacent angles.
The sum of adjacent angles is 180 °.
180 ° – 48 ° = 132 °.
The other four corners are also in pairs, lying crosswise and have a degree measure of 132 °.
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