Question

1) the measures of two adjacent angles of a parallelogram are in the ratio 2:3. find the measure of each of the angles of parallelogram .

Answer 1

Given the adjacent angles of a parallelogram are in ratio 2:3 Let the two adjacent angles of parallelogrambe 2 x and 3 x adjacent angles of parallelogram is given as 180⁰ 2x+3x =180⁰ 5x =180⁰ x =180⁰/ 5 x= 36⁰ angles of parallelogramare 2 x and 3 x 2*(36⁰) and 3*(36⁰) =72⁰and 108⁰