Question

Angles of a quaduilateral are (x-18)°,(x- 12)°,
(2x+10 and ( 3x + 13). find all angles.​

Answer 1

Solution:-

Given Angles are ( x - 18)⁰ , ( x - 12)⁰ , ( 2x + 10)⁰ and ( 3x + 13)⁰

We Know That , The sum of all angle in Quadrilateral is 360⁰

We can write as

=> ( x - 18)⁰ + ( x - 12 )⁰ + ( 2x + 10)⁰ + (3x + 13 )⁰ = 360⁰

=> x - 18 + x - 12 + 2x + 10 + 3x + 13 = 360⁰

=> 7x - 30 + 23 = 360⁰

=> 7x - 7 = 360⁰

=> 7x = 360⁰ + 7

=> 7x = 367⁰

=> x = 367/7

=> x = 52.4⁰

First Angle is ( 52 . 4 - 18 ) = 34.4⁰

Second Angle is ( 52.4 - 12 ) = 40.4⁰

Third Angle is ( 52.4 × 2 + 10 ) = 114.8⁰

Fourth Angle is ( 3 × 52.4 + 13 ) = 170.2⁰