Question

The angles of a quadrilateral are in the ratio 9: 12 : 7 : 8. The measure of the largest angle of this quadrilateral is ____ *
1 point
360°
90°
180°
120​

Answer 1

Answer:

D) 120

Step-by-step explanation:

9 : 12 : 7 : 8

= 9+12+7+8=36

= Total angle = 360°

= (i) 9/36×360 = 90°

= (ii) 12/36×360 = 120°

= (iii) 7/36×360 = 70°

= (iv) 8/36×360 = 80°

I hope you understand this solution

Answer 2

$\huge\sf\green{Solution}$

Concept Implemented;-

The sum of four angles in a Quadrilateral is equal to 360°

The sum of adjacent angles in a Quadrilateral is equal to 180°

_______________________________________________________________

Given ratio 9:12:7:8

So ATQ ratio Let angles are 9x,12x,7x,8x

So,Their sum should be equal to 360°

9x + 12x + 7x + 8x = 360°

36x = 360°

x = 10°

Therefore angles are

9x = 90°

12x = 120°

7x = 70°

8x = 80°

Largest angle is 120°

VERIFICATION :-

We have got 4 angles Whether we have to check their sum is equal to 360° or not

So, 90° + 120° + 70° + 80° = 360° Hence verified

So, Largest angle is 120°