Question

In the given figure, find x.

Answer 1

Answer:

the value of x is 25

Step-by-step explanation:

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

6x + 30 = 180

6x = 180-30

6x = 150

x = 150/6

x = 25

(2x +15) = 50 +15 = 65

(3x + 5) = 75 + 5 = 80

(x + 10) = 25 + 10 = 35

if you add all of them you will get 180

65+80+35 =180

Answer 2

Given

• Triangle
• ∠A = (x + 10)°
• ∠B = (3x + 5)°
• ∠C = (2x + 15)°

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To Find

• The value of 'x'

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Solution

We know that the sum of interior angles in any triangle always sums upto 180°

So our equation becomes like this ⇒ (2x + 15) + (x + 10) + (3x + 5) = 180

Let's solve the following equation step-by-step.

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

Step 1: Simplify the equation.

⇒ (2x + 15) + (x + 10) + (3x + 5) = 180

⇒ 2x + 15 + x + 10 + 3x + 5 = 180

Step 2: Combine Like Terms.

⇒ 2x + 15 + x + 10 + 3x + 5 = 180

⇒ (2x + x + 3x) + (15 + 10 + 5) = 180

⇒ 6x + 30 = 180

Step 3: Subtract 30 from both sides of the equation.

⇒ 6x + 30 - 30 = 180 - 30

⇒ 6x = 150

Step 4: Divide 6 from both sides of the equation.

⇒ 6x ÷ 6 = 150 ÷ 6

⇒ x = 25

∴ x = 25

∠A = (x + 10)° = (25 + 10)° = 35°

∠B = (3x + 5)° = (3 × 25 + 5)° = 75 + 5 = 80°

∠C = (2x + 15)° = (2 × 25 + 15)° = 50 + 15 = 65°

∴ ∠A = 35°

∴ ∠B = 80°

∴ ∠C = 65°

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