The anglees of a quadrilateral are in the ratio 4:5:3,the difference between greatest angle and least angle is 42degree. Find all angles

The measures of first three angles of a Quadrilateral are in the ratio 4 : 5 : 3.

Difference between the measures of highest and least angles = 42°.

all angles

Let the measures of three angles be 4x , 5x , 3x.

According to the question,

→ 5x - 3x = 42°

→ 2x = 42

→ x = 42/2

→ x = 21

Hence,

Let the measure of fourth angle be y.

We know that,

Sum of four angles of a Quadrilateral = 360°

Hence,

→ 84° + 105° + 63° + y = 360°

→ y = 360° - 84° - 105° - 63°

→ y = 108°

Therefore, the measures of four angles of the given quadrilateral are 84° , 105° , 63° and 108°.

I hope it will help you.

Regards.

Hence,

1st angle = 4x = 4(21) = 84°

2nd angle = 5x = 5(21) = 105°

3rd angle = 3x = 3(21) = 63°.

Let the measure of fourth angle be y.

We know that,

Sum of four angles of a Quadrilateral = 360°

Hence,

→ 84° + 105° + 63° + y = 360°

→ y = 360° - 84° - 105° - 63°

→ y = 108°

Step-by-step explanation:

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4