three angles of a quadrillateral are in the ratio 2:3:5 and the fourth angle is 90 degree find the measure of three angle
Answers
Answered by
1
Answer:
let 2:3:5 be
2x:3x:5x
sum of interior angles of quadrilateral is 360°
so, 2x+3x+5x+90°=360°
10x+90°=360°
10x=360°-90°=270°
10x=270°
x=270/10
x= 27
2(27)=54°
3(27)=81°
5(27)=135°
Answered by
2
Answer:
The angles are 54°, 81°, 135°
Step-by-step explanation:
let the angles be 2x, 3x, and 5x
According to question
2x + 3x + 5x + 90 = 360 (As sum of all angles of a quadrilateral is 360°)
=> 10x + 90 = 360
=> 10x = 360-90
=> 10x = 270
=> x = 27
The angles are 27*2 = 54°, 27*3 = 81° and 27*5 = 135°
Similar questions