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If two adjacent angles of a parallelogram are (5x-5) and (10x+35),then the ratio of these angles is _____

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Solution

Dear student,

$W e k n o w t h a t, a d j a c e n t a n g l e s o f ∥ g m a r e s u p p l e m e n t a r y, i . e, t h e i r s u m i s e q u a l s t o 180 ° ∴ (5 x - 5) + (10 x + 35) = 180 ° \Rightarrow 15 x + 30 ° = 180 ° \Rightarrow 15 x = 150 ° \Rightarrow x = \frac{150 °}{15} = 10 ° T h u s, t h e a n g l e s a r e (5 \times 10 - 5) a n d (10 \times 10 + 35), i . e . 45 ° a n d 135 ° H e n c e t h e r e q u i r e d r a t i o i s 45 ° : 135 °, i . e . 1 : 3$

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