Question

Two adjacent angles of a parallelogram are in the ratio 2:3.The measure of
the smaller angle is

Answer 1

Answer:

72°

Step-by-step explanation:

as we know,

sum of two adjacent angles of a parallelogram is always 180°

let ratio 2:3 be 2x:3x

so, 2x + 3x = 180°(sum of adjacent angles is 180°)

5x= 180°

x = 180/5(if we shift 5 to right side, multiply will clange into divide)

x = 36°

as we know 2x is smaller than 3x, therefore 2x is the smaller angle

x= 36°

2x= 36° × 2

2x= 72°

Answer 2

Answer

sol. we know that in a parallelogram sum of two adjacent angles=180°

Let the coef. of ratio be x

therefore, angle=2x & 3x

since :2x+3x=180°

:5x=180°

x=180°/5

:x=36 °

therefore, smaller angle is 2x=2*36°=72°answer

Step-by-step explanation:

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