If two angle are supplementary and one angle is 5degree more than four-time the other,find the angle

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Solution

Dear Student,
$L e t o n e a n g l e b e x °, t h e n a n o t h e r a n g l e w i l l b e (4 x + 5) °, I f t h e t w o a n g l e s a r e s u p p l e m e n t a r y t h e n t h e r e s u m w i l l b e 180, t h e r e f o r e; x + (4 x + 5) = 180 ° 5 x + 5 = 180 ° 5 x = 175 ° x = \frac{175}{5} = 35 ° A n d a n o t h e r a n g l e w i l l b e (4 x + 5) = (4 \times 35 + 5) = 140 + 5 = 145 °$

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