Question

angle 9 and angle 10 are corresponding and complementary angles formed by two parallel lines cut by a transversal. find m angle 9

Answer 1

45 degrees

Explanation:

if <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees