Question

Two angles of a quadrilateral are 60° and 120° and other two
are in the ratio 5:4, find these angles.​

Answer 1

Answer:

100°, 80°

Step-by-step explanation:

Sum of angles of quadrilateral = 360°

60+120+5x+4x=360

180+9x=360

9x=360-180

9x=180x

x=20

5x=5×20=100°

4x=4×20=80°

Answer 2

Answer:

Third angle is 5(20) = 100°

Fourth angle is 4(20)=80°

Step-by-step explanation:

ANGLES OF THE QUADRILATERAL : The Sum of the angles of quadrilateral is equal to 360°

GIVEN :

Two angles

∠A and ∠B = 60° and 120°

Other two are in the ratio  5:4,

let ratio be, 5x:4x

∠A +∠B+∠C+∠D = 360°

60° + 120° +5x+4x=360°

180° +9x=360°

9x= 360° -180°

9x=180°

x=20°

Substitute x in the ratio

Third angle is 5x

Fourth angle is 4x

Third angle is 5(20) = 100°

Fourth angle is 4(20)=80°

∠A +∠B+∠C+∠D = 360°

60°+ 120°+100°+80°=360°