Question

two angles of a quadrilateral are right angles the other 2 angles are in the ratio 2:3,find the angles

Answer 1

Answer:

108° , 72°

Step-by-step explanation:

 Here, two angles are right angles, it means their angle measure is 90°( for each ).

 Ratio of other two angles is 2 : 3.

Let those angles are 2a and 3a.

  As we know, sum of all angles in a quadrilateral is 360°

⇒ 90° + 90° + 2a + 3a = 360°

⇒ 180° + 5a = 360°

⇒ 5a = 360° - 180°

⇒ 5a = 180°

⇒ a = 36°

    Hence,

  Remaining angles are 2a = 2( 36° ) = 72°

  And, 3a = 3( 36° ) = 108°