question: <9 and <10 are corresponding and complementary angles formed by two parallel lines cut by a transversal, find m<9
no idea, but they add up to 90 degrees.
To find the measure of angle <9, we need to use the fact that <9 and <10 are corresponding angles formed by two parallel lines cut by a transversal. Corresponding angles are congruent when two parallel lines are cut by a transversal. Since <9 and <10 are corresponding angles, they have the same measure.
However, we are also told that <9 and <10 are complementary angles. Complementary angles are two angles that add up to 90 degrees. Since <9 and <10 are complementary, their measures should add up to 90 degrees.
Let's denote the measure of <9 as x. Therefore, the measure of <10 will also be x because they are corresponding angles. Since <9 and <10 are complementary, we can set up the equation x + x = 90 to represent their sum.
Simplifying the equation, we have 2x = 90. To solve for x, we divide both sides of the equation by 2:
2x/2 = 90/2
x = 45
Therefore, the measure of <9 is 45 degrees.