Question

In the adjoining figure, AB is parallel to DC, ∠ = 74° and ∠ ∶ ∠ = 4 : 5

I. ∠B

II. ∠​D

Answer 1

Answer:

angle b= 9.6

angle d =80

Answer 2

Answer:

let A and D be 1x and 2x respectively.

A+D=180°. [AB¶CD] {interior angles on same side of transversal}

x+2x=180°

3x=180°

x=60°

Therefore A=60°, D=120°

also,

let C and B be 4y and 5y respectively.

C+B=180°. [AB¶CD] {interior angles on same side of transversal}

4y+5y=180°

9x=180°

y=20°

Therefore C=80°, B=120°

Trapezium can be the quadrilateral ABCD, where two sides are parallel.

Step-by-step explanation:

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