Question

the sum of the two angles of a quadrilateral is 145 the other two angles are in the ratio 2:3 find the angles​

Answer 1

Answer:

The other two angles are 86° and 129°.

Step-by-step explanation:

As the other two angles are in the ratio 2:3, they are 2x and 3x, for some value x.

The sum of all the angles in a quadrilateral is 360°, so

2x + 3x + 145° = 360°

=> 5x = 360° - 145° = 215°

=> x = 43°

So the two angles are

2x = 86° and 3x = 129°

Answer 2

sum of angles in a quadrilateral =360°

the ratio parts =2:3

=2x+3x

=5x

the sum of two angles =145

5x+145°=360°

5x=360°-145°

5x=215

x=215/5

x=43

first angle =2x

=2(43°)

=86°

second angle =3x

=3(43°)

=129°