Explanation:
supplements :
a) 180-110 = 70°
b) 180-135 = 45°
c) 180-150= 30°
d) 180-70=110°
e) 180-45= 135°
a) 4x +5x = 180° (as they are linear pair)
9x=180°
x=180/9
x=20°
4x = 4×20 = 80°
5x = 5×20= 100°
b) 2x-10° + 3x+20° = 180°(as they are linear pair)
5x+10° = 180°
5x= 180°- 10°
5x = 170°
x= 170/5
x= 34°
2x-10° = 2×34-10= 68-10 = 58°
3x+20° = 3×34+20° = 102 + 20° = 112°
c) complementary angles = 90°
let the common ratio be x.
first number is 2x
second number is 3x
2x+3x= 90°
5x= 90°
x=90°/5
x= 18°
first number = 2x = 2×18 = 36°
second number = 3x = 3×18° = 54°
d)
let an angle = x°
Then, complementary Angle of x° = 90° - x°
Difference between the angles = 10°
So, equation = x° - (90° - x°) =
10°x° - 90° + x° =
10°2x° - 90° = 10°2x°
= 10° + 90°2x° = 100°x°
= 100°÷2x° = 50°
An Angle = 50°
Second Angle = 90° - x° = 90° - 50° = 40°