Question

If the co interior angles are in the ratio 2 : 3, then smaller angle is​

Answer 1

Step-by-step explanation:

interior angles on the same side of transversal are supplementary,

angles on the same side of transversal are also known as co - interior angle so,

let the ratio be 2x and 3x,

since the sum is 180°/supplementary angle.

so we got,

2x + 3x = 180°

5x = 180°

x = 180/5

x = 36°

so,

2x = 2 × 36° = 72°

3x = 3 × 36° = 108°

smaller angle is 72°,

hope this answer helps you dear...take care and plz drop multiple thanks too!

Answer 2

Answer:

SMALLEST ANGLE 72°

Step-by-step explanation:

CO-INTERIOR ANGLES ARE IN THE RATIO 2:3

SUM OF CO-INTERIOR ANGLES ARE 180°

LET THE ACTUAL RATIO BE K

⇒ 2K + 3K = 180

⇒ 5K = 180

⇒ K = 36

SO,THE ANGLRS ARE 2 ×36 & 3 × 36 = 72°&108°