If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, which is the bigger of the two angles ?
Question
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, which is the bigger of the two angles ?
Solution
The two interior angles on the same side of a transversal intersecting two parallel lines are supplementary, meaning they add up to 180 degrees.
If the ratio of the two angles is 2:3, then we can divide 180 by the total parts in the ratio, which is 5 (2+3).
180 ÷ 5 = 36
So, each part of the ratio represents 36 degrees.
The bigger angle is represented by 3 parts of the ratio, so we multiply 36 by 3.
36 * 3 = 108
Therefore, the bigger of the two angles is 108 degrees.
Similar Questions
How many angles are formed when a transversal intersects two parallel lines?
What can you conclude about the interior angles formed when two parallel lines are cut by a transversal?Each pair of alternate interior angles is .Each pair of same-side interior angles is .
When two parallel lines are cut by a transversal, interior angles are supplementary.
Which one of the following statements regarding angles around two lines and a transversal are not true?Select one:a.When two lines are not parallel then the measures of two corresponding angles will not be equal.b.If the measures of two alternate interior angles are equal then the two lines must be parallel.c.Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.d.Of two lines are parallel then the measures of any two alternate interior angles will be equal.
If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.
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