Question

please help me with this​

Answer 1

Step-by-step explanation:

Q4) A+B+C =180

x+10+3x+5+2x+15=180

6x+30=180

6x=150

Therefore x=150/6=25

Answer 2

Explanation :-

__________(1)__________

Given :-

• The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8 .

To Find :-

• The measure of each angles.

Solution (1) :-

Let,

• The first angle of quadrilateral = 2x
• The second angle of quadrilateral = 3x
• The third angle of quadrilateral = 5x
• The fourth angle of quadrilateral = 8x

As we know that,

• Sum of 4 angles of quadrilateral = 360°

[ Putting the values ]

=> 2x + 3x + 5x + 8x = 360°

=> 18x = 360°

=> x = 360°/18

=> x = 20°

Hence,

• The first angle of quadrilateral = 2x = 2 × 20 = 40°.

• The second angle of quadrilateral = 3x = 3 × 20 = 60°.

• The third angle of quadrilateral = 5x = 5 × 20 = 100°.

• The fourth angle of quadrilateral = 8x = 8 × 20 = 160°.

Verification :-

Sum of 4 angles of quadrilateral = 360°

=> 40° + 60° + 100° + 160° = 360°

=> 100° + 260° = 360°

=> 360° = 360°

Hence Verified !!

__________(2)_________

Given :-

• In ΔABC, ∠A = (x + 10)° , ∠B = (3x + 5)° And ∠C = (2x + 15)°

To Find :-

• The value of x.

Solution :-

As we know that,

Sum of angle of a triangle = 180°

=> ∠A + ∠B + ∠C = 180°

=> (x + 10)° + (3x + 5)° + (2x + 15°) = 180°

=> x + 3x + 2x + 10° + 5° + 15° = 180°

=> 6x + 30° = 180°

=> 6x = 180° - 30°

=> 6x = 150°

=> x = 25°

Hence,

• The value of x is 25°.

Verification :-

Sum of angles of a triangle = 180°

=> ∠A + ∠B + ∠C = 180°

=> (x + 10)° + (3x + 5)° + (2x + 15°) = 180°

[ Put x = 25° ]

=> (25° + 10°) + (3×25° + 5°) + (2 × 25° + 15°) = 180°

=> 35° + 80° + 65° = 180°

=> 115° + 65° = 180°

=> 180° = 180°

Hence Verified !!