two angles of a quadrilateral are right angles the other 2 angles are

1.	two angles of a quadrilateral are right angles the other 2 angles are in the ratio 2:3,find the angles
Answer» 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°

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

Answer»

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°

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

And, 3a = 3( 36° ) = 108°