Question

Two unequal angles of a parallelogram are in the ratio 2:3. FIND ALL ITS ANGLES IN DEGREES

Answer 1

Ratio of the 2 angles :- 2:3
Angle 1 -2x
Angle 2 - 3x
THE OPPOSITE ANGLES OF A PARALLELOGRAM ARE EQUAL SO:-
2x +3x + 2x + 3x = 360
10x = 360
x = 360/10
x = 36
2x = 72
3x = 108

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Answer 2

Given that,

Two unequal angles of a parallelogram are in the ratio 2:3.

To find,

All its angles in degrees.

Solution,

Let angle A is 2x and angle B is 3x

We know that the sum of co-interior angles are supplementary.

So,

$\angle A+\angle B=180^{\circ}\\\\2x+3x=180\\\\5x=180\\\\x=36^{\circ}$

It means that, $\angle A=2x=2(36)=72^{\circ}$

and

$\angle B=3x=3(36)=108^{\circ}$

Also, the opposite angles of a parallogram are equal

So,

$\angle A=\angle C=72^{\circ}\\\\\angle B=\angle D = 108^{\circ}$

Hence, this is the required solution.