A bag contains 9 blue coins and 3 red coins a coin is removed at random and replaced by three of the other color
Answer:
(19x - 1)° = 56°
(13x - 5)° = 34°
Step-by-step explanation:
Property of the interior angles of a triangle:
Sum of interior angles of a triangle is 180°.
Therefore, sum of angles of the given right triangle will be,
(19x - 1)° + (13x - 5)° + 90° = 180°
32x - 6 + 90 = 180
32x = 96
x = 3
(19x - 1)° = 19×3 - 1 = 56°
(13x - 5)° = 13×3 - 5 = 34°
So basically, its a theorem.
Angle U = half of 288
Angle U = 144
Angle U and Angle VUT are supplementary, which means the sum of their measure is 180 so,
144 + 8x + 4 = 180
Now solve for x
x = 4
