Question

∠1 ​ and ∠2 are supplementary. m∠1=124°m∠2=(2x+4)° What is the value of x? Select from the drop-down menu to correctly answer the question.

Answer 1

The value of x is 26⁰.

Step-by-step Step-by-step explanation:

Given :

Supplementary angles

• ∠1 = 124°
• ∠2 = (2x+4)°

To Find :

• Value of x

Solution :

As we know that the sum of supplementary angles is 180⁰.

Then,

`\qquad{\sf{\dashrightarrow{\angle 1 + \angle 2 = 180\degree}}}`

`\qquad{\sf{\dashrightarrow{124 \degree + (2x + 4) \degree = 180\degree}}}`

`\qquad{\sf{\dashrightarrow{124 \degree + 4 \degree + 2x = 180\degree}}}`

`\qquad{\sf{\dashrightarrow{128 \degree + 2x = 180\degree}}}`

`\qquad{\sf{\dashrightarrow{2x = 180 \degree - 128\degree}}}`

`\qquad{\sf{\dashrightarrow{2x = 52\degree}}}`

`\qquad{\sf{\dashrightarrow{x = (52)/(2)}}}`

`\qquad{\sf{\dashrightarrow{x = \cancel{(52)/(2)}}}}`

`\qquad{\sf{\dashrightarrow{x = 26 \degree}}}`

Hence, the value of x is 26⁰.

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