Question

If an angle is 60 degree less than two times of its supplement, then find the greater angle.

Answer 1

Answer:

greater angle = 100°

Step-by-step explanation:

• let the angle be x
• one angle is 60 less than 2 times of supplement = 2x - 60
• sum of supplementary angles = 180°

$x + (2x - 60) = 180 \\ x + 2x - 60 = 180 \\ 3x = 180 + 60 \\ 3x = 240 \\ x = \frac{240}{3} \\ x = 80$

• one angle = 80°
• greater angle = 2×80° - 60 = 160 - 60 = 100°

Answer 2

Answer:

100°

Step-by-step explanation:

Let the angle be x

So, supplement of angle x will be 180°-x

=) x= 2(180°-x)

=) 360° -2x -60°

=) 3x= 300°

=) x=100°

Have a nice day