Question

In hexagon ABCDEF, side AB is parallel to EF and angle b:c:d:e=5:4:2:1.find angle b, c, D, e. Q. 12

Answer 1

Hey mate!

Here's your answer!!

Given: In Hexagon ABCDEF

AB || FE

and ∠B : ∠C : ∠D : ∠E = 6 : 4 : 2 : 3

Let ∠B = 6x, ∠C = 4x, ∠D = 2x, ∠E = 3x

Now AB || FE and AF is the transversal

⇒ ∠A + ∠F = 180° (Linear pair)


Now Hexagon has 6 sides

⇒ Sum of angles of hexagon = (6 – 2) × 180°

⇒ ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 4 × 180°

⇒ 180° + 6x + 4x + 2x + 3x = 720°

⇒ 15x = 720° – 180°

➡ x = 540°/15 = 36°

Hence ∠B = 6 × 36° = 216°

and ∠D = 2 × 36° = 72°

Answer 2

Answer:angle B=225

Angle C=180

Angle D=90

Angle E=45

Step-by-step explanation: