Two angles of a quadrilateral are 60° and 120° and other two
are in the ratio 5:4, find these angles.
Answers
Answered by
2
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°
Answered by
0
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°
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