line a is parallel to line b and m ∠ 18 = 42. Find m ∠ 20.
you tell us nothing about the locations of the angles. Hard to say what their measures are, eh?
To find the measure of ∠20, we need to use the property of alternate interior angles for parallel lines.
The property states that when two lines are parallel, any pair of corresponding angles are congruent.
We are given that line a is parallel to line b, and we know that ∠18 is one of the corresponding angles.
So, we can conclude that ∠20 is also congruent to ∠18.
Therefore, m ∠20 = m ∠18 = 42.
To find the measure of ∠20, we need to use the properties of parallel lines and angles.
When two lines are parallel, the corresponding angles formed by a transversal (a line that intersects the two parallel lines) are congruent. In this case, ∠18 and ∠20 are corresponding angles, and since ∠18 measures 42 degrees, we can say that ∠20 also measures 42 degrees.
So, m∠20 = 42.