find the x value in tthe the following figure ? and with explanation.
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Answer:
x = 17
Step-by-step explanation:
As we know that the sum of all three interior angles of a triangle is 180°.
In the given ∆PQR
∠QPR+∠PQR+∠QRP = 180°
=> 45+(3x+16)+68 = 180
=> 113+(3x+16) = 180
=> 113+3x+16 = 180
=> 129+3x = 180
=> 3x = 180-129
=> 3x = 51
=> x = 51/3
=> x = 17
Hence, x = 17
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