Question

EXERCISE 13.1
the angles of the quadrilateral.
1. The average of 3 angles of a quadrilateral which are in the ratio of 2:5:4 is 77º. Find all​

Answer 1

$\LARGE{ \underline{\underline{ \bf{Required \: answer:}}}}$

Let the angles be 2x, 5x and 4x. Their sum will be

➛ 2x + 5x + 4x = 11x

The average of these angles is 77°. We know that,

• Average = Sum of all observations / No. of observations (Here it is the angles)

Then,

↝ 77° = Sum of all angles / 3

↝ Sum of all angles = 231°

In terms x, the sum of all angles is 11x. So, Finding x from the above data:

↝ 11x = 231°

↝ x = 231° / 11

↝ x = 21°

Measure of all angles:

• 2x = 2(21°) = 42°
• 5x = 5(21°) = 105°
• 4x = 4(21°) = 84°
• Last angle = 360° - (42° + 105° + 84°) = 129°

And we are done! :D

Answer 2

here is your answer please mark me as brainlist and follow me