Question

Explanation also please tell the answer fast ​

Answer 1

A = 18°

B = 54°

C = 270°

D = 18°

Step-by-step explanation:

GIVEN

A = x

B = 3x

C = 15x

D = 1x

TO FIND

A , B , C , D

___________________________

x

We know that,

• Sum of all interior angles of a triangle is 360°

• x + 3x + 15x + 1x = 360°

• 20x = 360°

• x = 360 / 20

• x = 18

• x = 18°

x = 18°

___________________________

A

We know that,

• A = x

• A = 18°

A = 18°

___________________________

B

We know that,

• B = 3x

• B = 3 × 18°

• B = 54°

B = 54°

___________________________

C

We know that,

• C = 15x

• C = 15 × 18°

• C = 270°

C = 270°

___________________________

D

We know that!

• D = 1x

• D = 1 × 18°

• D = 18°

D = 18°

___________________________

A = 18°

B = 54°

C = 270°

D = 18°

Answer 2

Given

• ∠A = x°
• ∠B = 3x°
• ∠C = 15x°
• ∠D = 1x°

To find

• Measure of each angle

Solution

We know that, sum of all the interior angles in a triangle is equal to 360°, then on substituting we get :-

• x° + 3x° + 15x° + x° = 360°
• 20x° = 360°
• x° = 360°/20
• x° = 18°

The value of x° is 18°, so then the remaining angles are :-

• ∠A = x° = 18°
• ∠B = 3x° = 54°
• ∠C = 15x° = 270°
• ∠D = x° = 18°

Verification

• ∠A + ∠B + ∠C + ∠D = 360°
• 18° + 54° + 270° + 18° = 360°
• 360° = 360°