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Answer:
a).
in quadrilateral STUR ,
<T = 110°
< U = 70°
b).
Y = 215°
Step-by-step explanation:
a).
in quadrilateral STUR ,
<S + < T + < U + < R = 360°
70° + ( 23x - 5 ) + 14x + 110° = 360°
70° + 110° - 5 ° + 23x + 14x = 360°
175° + 37x = 360°
37x = 360° - 175°
37x = 185°
x = 185°/37°
x = 5
so,
< T = 23x - 5
<T = 23 × 5 - 5
< T = 115 - 5
<T = 110°
and
<U = 14x
< U = 14 × 5
< U = 70°
b).
Y + 88° + 112° + 90° + 135° = 540° ( Sum of angles of pentagon is 540°)
Y + 325 = 540°
Y = 540° - 325°
Y = 215°
I HOPE THIS ANSWER IS HELPFUL FOR YOU
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