Question

Find the smallest angles of a quadrilateral ig its angles are in the ratio 2:3:4:6.​

Answer 1

see the attachment for answers

$\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {Thanks}}}$

Answer 2

Answer:

The smallest angle is 48

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 2:3:4:6

Let ∠A = 2x  ∠B = 3x  ∠C = 4x  ∠D = 6x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 2x + 3x + 4x + 6x = 360°

⇒ 15x = 360

⇒ x = 360 ÷ 15 = 24

∴ Required angles are

∠A = (2 × 24)° = 48°

∠B = (3 × 24)° = 72°

∠C = (4 × 24)° = 96°

∠D = (6 × 24)° = 144°