U T
23
S
24
(72°)
(63°)
x =
W
(45°)
31
V
x =
U T
23
S
24
(72°)
(63°)
x =
W
(45°)
31
V
x =
To solve for ( x ) in the given problem, we can use the properties of triangles and angles.
1. Identify Angles:
– Given angles are ( 72° ), ( 63° ), and ( 45° ).
– The angles in any triangle sum up to ( 180° ).
2. Finding ( x ):
– Use the triangle that contains the angles ( 72° ), ( 63° ), and angle ( x ).
– The third angle can be calculated as follows:
[
x = 180° – 72° – 63°
]
[
x = 180° – 135°
]
[
x = 45°
]
Thus, ( x ) equals ( 45° ).
Feel free to ask if you have any more questions or need clarification on this topic!