If two angles of a quadrilateral are 36∘ and 72∘ and other two angles are in the ratio 3:4, then the measure of the other two angles are
Given the angles of a quadrilateral are 72∘, 36∘.
Let the other 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∘
3x = 3×36=108∘ and 4x = 4×36=144∘
The required angles are 108∘,144∘