Question

3. Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100°,find
the other three angles of the quadrilateral.​

Answer 1

Answer:

First angle = 260 ×2÷13 = 40°

Second angle = 260 ×5 ÷13 = 100°

Third angle = 260 ×6÷13 = 120°

Step-by-step explanation:

As we know the sum of 4 angles of a quadrilateral is 360°

The measure of angle given is 100°

So the sum of remaining 3 angles

= 360-100 = 260

Now these angles are in 2:5:6

2+5+6=13

First angle = 260 ×2÷13 = 40°

Second angle = 260 ×5 ÷13 = 100°

Third angle = 260 ×6÷13 = 120°