Two angles whose sum, is 180 are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed? Two pairs of supplementary and one pair of equal angles.Two pairs of each.One pair of supplementary and two pairs of equal angles.Four pairs of supplementary and two pairs of equal angles.

Question

Two angles whose sum, is 180 are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed?  Two pairs of supplementary and one pair of equal angles.Two pairs of each.One pair of supplementary and two pairs of equal angles.Four pairs of supplementary and two pairs of equal angles.

Arturo Hogan · Accepted Answer

The sum of the angles on one side of a line at a point where two lines intersect is 180 degrees. Consider &quot;line 1,&quot; which has angles &quot;a&quot; and &quot;d&quot; on one side and &quot;b&quot; and &quot;c&quot; on the other. Consider &quot;line 2,&quot; which has the angles &quot;a&quot; and &quot;b&quot; on one side and &quot;d&quot; and &quot;c&quot; on the other. We have four pairs of supplementary angles a &amp;amp; d, b &amp;amp; c, a &amp;amp; b, &#039;d&#039; &amp;amp; &#039;c&#039;. Opposite angles are equal at the intersection of two lines. And there are two pairs of equal angles.

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