Question

Hey can anyone help?

Answer 1

x = 4

Explanation:

We know that,

the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

5x + 20 + 114 + 3x + 14 = 180

Combine like terms.

8x + 148 = 180

Subtract 148 by both sides.

8x = 180 - 148

8x = 32

Divide both sides by 6.

x = 4

Answer 2

x = 4

Explanation:

The interior angles of a triangle sum to 180°.

Therefore:

⇒ (5x + 20)° + (3x + 14)° + 114° = 180°

⇒ 5x + 20 + 3x + 14 + 114 = 180

Collect like terms:

⇒ 5x + 3x + 20 + 14 + 114 = 180

Combine like terms:

⇒ 8x + 148 = 180

Subtract 148 from both sides:

⇒ 8x + 148 - 148 = 180 - 148

⇒ 8x = 32

Divide both sides by 8:

⇒ 8x ÷ 8 = 32 ÷ 8

⇒ x = 4

Solution

• x = 4