Answer:
1) 37.5 degrees
2) 21 degrees
3) 5 degrees
4) 9 ft
5) 36.9 cm
Explanation:
1) Angle 1 and Angle 2 are a linear pair (they make a straight angle; a line) which means they must add up to 180. 30+4x = 180 ; 4x= 150 ; x = 37.5
2) Angle 3 and Angle 4 are a linear pair (they make a straight angle; a line) which means they must add up to 180. 75+5x= 180 ; 5x= 105 ; x=21
3) Angle 4 and Angle 2 are vertical angles (opposite; have the same supplements) which means they are congruent [equal] 45=9x ; x=5
4) To find the length of a rectangle we must subtract the width twice and then divide by 2. 42-24 = 18 ; 18/2 = 9 ft
5) To find the width a rectangle we must subtract the length twice and then divide by 2. 158.5-85 =73.8 ; 73.8/2 = 36.9