please answer c (ii) in the following attachment
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Answer:
• Given - 5x+ 6 , 14x + 3
• To find - value of x
• Solution -
Qor is a straight line , sum of thus angles is 180°
5x + 6 + 14x + 3 = 180
5x + 14x + 3 + 6 = 180
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
X= 9
5x + 6 = 5× 9 + 6= 51°
14x + 3 = 14× 9 + 3= 129°
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Answer:
(5x +6)° + (14x +3)° = 180° ( linear pair angles)
= ( 5x +14x ) + ( 6+3 )= 180°
19x + 9 = 180°
19x = 180-9
19x = 171
x = 171/19
x=9°
Proof:
( 5x +6)° + ( 14x +3)° = 180
(5(9)+6)° + ( 14(9)+3)°= 180
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