Question

One angle of a pentagon is 140°. If the remaining angles are in the ratio 1:2:3:4, the magnitude of the greatest angle is (1) 150° (2) 160° (3) 170° (4) 180°​

Answer 1

Answer:

Sum of interior angles of pentagon is 540

Given one angle 140 and other angles in ratio 1 : 2 : 3 ; 4

Let the other angles be x,2x,3x,4x

x + 2x + 3x + 4x + 140 = 540

10x = 540 - 140 = 400

x = 40

So largest interior angle is 4x = 4 * 40 = 160 degrees.

Answer 2

Answer:

160° (2)

Step-by-step explanation:

Let the angels be x, 2x, 3x and 4x.

then, x + 2x + 3x + 4x + 140° = 540°

10x = 540° - 140°

10x = 400°

x = 40°

.•. the greatest angle = (40 × 40)°

= 160°

please mark my answer as brainliest