question: <9 and <10 are corresponding and complementary angles formed by two parallel lines cut by a transversal, find m<9
I see no picture so have no idea what your angles are.
To find the measure of angle <9, we need to know that corresponding angles formed by two parallel lines cut by a transversal are congruent. Complementary angles add up to 90 degrees.
Step 1: Draw a diagram with two parallel lines cut by a transversal. Label angle <9 and angle <10.
Step 2: Since angle <9 and angle <10 are corresponding angles, they have the same measure. Therefore, we can represent the measure of both angles as 'x'.
Step 3: Since angle <9 and angle <10 are complementary angles, their measures add up to 90 degrees. So we can write the equation: x + x = 90.
Step 4: Simplify the equation: 2x = 90.
Step 5: Solve for 'x' by dividing both sides of the equation by 2: x = 45.
Therefore, angle <9 measures 45 degrees.