Question

in a quadrilateral abcd the angles abc and d are in the ratio 2:3:3:4 .the measure of smaller angle is​

Answer 1

Let the angles of a quadrilateral are 2x,3x,3x,4x.

As we know,

L1+L2+L3+L4=360⁰

2x+3x+3x+4x=360⁰

12x=360⁰

x=360⁰/12

x=30⁰

L1= 2x=2×30 =60⁰

L2= 3x=3×30=90⁰

L3= 3x=3×30=90⁰

L4= 4x=4×30=120⁰

Hence the measure of the smaller angle is 60⁰.

Answer 2

Answer:

60°

Step-by-step explanation:

LET THE ANGLES BE 'x'

so, we know that the sum of all angles of a quadrilateral is 360°

.

. . 2x+3x+3x+4x= 360°

12x =360° ,x=30°

hence

2*30° =60°

ANSWER