Question

Find the value of x of 2x 110° (x + 10)°​

Answer 1

50°

Explanation:

the sum of the angles of a quadrilateral is 360°

so

2x + 110 + x + 10 + 90 = 360

2x + x = 360 - 110 - 10 - 90

3x = 150

x = 150 : 3

x = 50°

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check

50 + 10 + 2 * 50 + 110 + 90 =

360°.

the answer is good

Answer 2

x = 50

2x = 110°

(x + 10)° = 60°

Explanation:

The sum of the interior angles of a quadrilateral is 360°

⇒ 2x° + (x + 10)° + 110° + 90° = 360°

⇒ 2x° + x° = 360° - 110° - 90° - 10°

⇒ 3x° = 150°

⇒ x = 50

Substitute found value of x into the expressions and solve:

⇒ 2x° = 2(50)° = 110°

⇒ (x + 10)° = (50 + 10)° = 60°