Question

4. The angles of a triangle are in the ratio 3:5: 7. Find the measures of these angles.
5. The angles of a quadrilateral are in the ratio 2 : 3:4 : 6. Find the measures of these
angles​

Answer 1

Answer:

GIVEN -

• Angles of triangles are in ratio 3: 5: 7

TO FIND -

• Angles of triangle

SOLUTION -

Let the ratio of triangle be 3x , 5x , 7x

We know that sum of all angles of a triangle = 180°

3x + 5x + 7x = 180°

15x = 180

x= 180/15

x= 12 °

3x= 3 × 12 = 36°

5x= 5 × 12 = 60°

7x= 7 × 12 = 84°

5) GIVEN -

• Angles of quadrilateral are in ratio of 2: 3: 4: 6

TO FIND -

• Angles of quadrilateral

SOLUTION -

let the ratio of angles of quadriletaral be 2x, 3x, 4x , 6x

We know that sum of all angles of a quadrilateral = 360°

2x + 3x+ 4x+ 6x= 360°

15x= 360°

x= 360/15

x= 24°

2x= 2 × 24 = 48°

3x= 3 × 24= 72°

4x= 4× 24= 96°

6x= 6 × 24 = 144°

# Be brainly

Answer 2

Step-by-step explanation:

4) Let us consider, the ratio of angles of triangle be 3x:5x+7x

3x+5x+7x = 180°.....................(Property of triangle)

15x = 180

x = 12

First angle - 3x = 3×12 = 36°

First angle - 3x = 3×12 = 36°Second angle - 5x = 5×12 = 60°

First angle - 3x = 3×12 = 36°Second angle - 5x = 5×12 = 60°Third angle - 7x = 7×12 = 84

5) Let us consider, the ratio of all angles be 2x:3x:4x:6x

2x + 3x + 4x + 6x = 360°...............(Property of a

quadrilateral)

15x = 360

x = 24

First angle - 2x = 2×24 = 48

First angle - 2x = 2×24 = 48Second angle - 3x = 3×24 = 72

First angle - 2x = 2×24 = 48Second angle - 3x = 3×24 = 72Third angle - 4x = 4×24 = 96

First angle - 2x = 2×24 = 48Second angle - 3x = 3×24 = 72Third angle - 4x = 4×24 = 96Fourth angle - 6x = 6×24 = 144