in the given figure, what is the value of x
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<R= 70°
<Q= 65°
<P= 180-90 (Sum of adjacent angles is 180°)
= 90°
x+70+65+90= 360 (sum of all the angles of a quadrilateral is 360°)
x+ 225= 360°
x= 360-225
x= 135°
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Answer:
x = 135
Step-by-step explanation:
Given : angle RQP = 65, angle R = 70, angle P = 90
angle SPQ + angle P = 180...........linear pair
angle SPQ + 90 = 180
angle SPQ = 180-90
angle SPQ = 90
angle SPQ + angle RQP + angle R + angle S = 360
90 + 65 + 70 + x = 360
225 + x = 360
x = 360 - 225
x = 135
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