Answer:
231
Step-by-step explanation:
35 % = 0.35
35 % of the students participate in sports
No. of students participating = 0.35 × 660 = 231
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
A = 37 degrees ; B = 82 degrees
Step-by-step explanation:
the angle A plus 143 must measure 180 degrees
angle A = 180 - 143 = 37 degrees
the sum of the inner angles of a triangle is 180 degrees
A + B + C = 180
37 + B + 61 = 180
B = 180 - 98 = 82 degrees