Question

if the degree measures of the angles of a quadilateral are 3x, 5x, 9x and 13x, what is the .measure of the smallest angle and the largest angle ?​

Answer 1

Answer:

so the sum of quadrilateral =(2n-4) ×90

=(2×4-4) ×90

= 4×90

=360°

so , sum of quadrilateral=3x+5x+9x+13x

360= 30x

360/30 =x

12°= x

smallest angle is 3x = 12×3

= 36°

largest angle is 13x= 13×12

=156°