Question

In a quadrilateral abcd it is being given that About is a parallel to DC angle A :angle D =2:3 and angle angleB :angle C=4:5 find the measure of each angle of quadrilateral (hint 2x+3x=180 and 4y +5y =180)

Answer 1

Answer:

<A=72°;<B=80°;<C=100° and <D=108°

Given:

A quadrilateral ABCD in which AB||DC.

<A:<D=2:3 and <B:<C=4:5

To find:

Measure of each angle of the quadrilateral

Solution:-

Let the angles be 2x;3x;4x and 5x

<A+<D=180°. {Co-Int angle}

2x+3x=180°

5x=180°

x=36°

So;

•2x=2 × 36

=72°

•3x=3 × 36

=108°

Similarily

<B+<C=180°

4x+5x=180°

9x=180°

x=20°

Hence;

•4x=80°

•5x=100°

-----------------

<A=72°;<B=80°;<C=100° and <D=108°

-------Verifi©ation-------

72°+80°+100°+108°=360°

360°=360°

L.H.S=R.H.S

Answer 2

Hey here is your answer

hope its helpful