Answer:
60° : 75° : 120° : 105°
Step-by-step explanation:
I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...
360°/24 = 15°
Multiplying the ratio units by this value, we find the angles to be ...
(4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°
Answer:
24
Step-by-step explanation:
x+90=114( sum of two interior angle of triangle is equal to its opposite exterior angle)
x=24
In a triangle, the three interior angles always add to 180°
x + 3x + 5x = 180
9x = 180
x = 180/9
x = 20
<span>the smallest angle = x = 20</span>°
x = [-(-6) +/- sqrt((-6)^2 - 4*1 * 8))] / 2
= (6 + sqrt4) / 2 , ( 6 - sqrt4)/2
= 4 , 2
