Two angles of a quadrilateral are of 900 each- The 3rd nbsp-and 4th nbsp-angle are in two ratio 2-3- Find the measure of 3rd nbsp-and 4th nbsp-angle-

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Standard IX

Mathematics

Angle Sum Property of a Quadrilateral

Two angles of...

Question

Two angles of a quadrilateral are of 90⁰each. The 3^rd and 4^th angle are in two ratio 2:3. Find the measure of 3^rd and 4^th angle.

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Solution

Dear Student,

$T h e s u m o f f o u r a n g l e s o f a q u a d r i l a t e r a l i s 360 ° . T w o a n g l e s a r e 90 ° e a c h . L e t t h e o t h e r t w o a n g l e s b e 2 x a n d 3 x . T h e n, 90 + 90 + 2 x + 3 x = 360 \Rightarrow 180 + 5 x = 360 \Rightarrow 5 x = 180 \Rightarrow x = 36 ° S o, 2 x = 2 \times 36 = 72 ° a n d 3 x = 3 \times 36 ° = 108 ° . T h u s, t h e m e a s u r e o f t h e o t h e r t w o a n g l e s a r e 72 ° a n d 108 ° .$

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Two angles of a quadrilateral are of 900 each. The 3rd and 4th angle are in two ratio 2:3. Find the measure of 3rd and 4th angle.

Two angles of a quadrilateral are of 90⁰each. The 3^rd and 4^th angle are in two ratio 2:3. Find the measure of 3^rd and 4^th angle.