Question

For susmita

If a supplementary angle of a Quadrilateral is divided into 3 sub angles
if two of 3 angles are equal and 1 angle is 20° then find the measure of all angles​

Answer 1

Answer:

Solution :

Here, are two supplementary angles in the ratio 4 : 5.

Let

first supplementary angle be 4x

second supplementary angle be 5x

We know that, sum of supplementary angles is 180°.

Now, according to question :

=> 4x + 5x = 180°

=> 9x = 180°

=> x = 180/9

=> x = 20

Now, multiply the ratio by 20.

first supplementary angle => 4x = 4 × 20 = 80°

second supplementary angle => 5x = 5 × 20 = 100°

Hence, the supplementary angles are 80° and 100° respectively.

Step-by-step explanation:

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