If two angles of a quadrilateral are 36∘ and 72∘ and other two angles are in the ratio 3:4, then the measure of these angles are
108∘,144∘
Let two angles be 3x and 4x
∵The sum of angles of a quadrilateral is 360∘
⇒3x+4x+36∘+72∘=360∘
⇒7x=360∘−108∘
⇒x=2527=36∘
3×36=108∘and
4×36=144∘
∴ The required angles are 108∘ and 144∘.