Question

∠1 ​and ∠2 are supplementary angles.

∠1 = 124°
∠2 = (2x + 4)°
Remember the formula for finding the missing degree in a straight line (with two supplementary angles)? Use ∠1 + ∠2 = 180∘
With this information, find the value of x.

x = 56
x = 18
x = 26
x = 48

Answer 1

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

Let's solve ~

As given in the question, the two angles are supplementary Angle pair.

According to that, the sum of measures of those angles will be equal to 180°

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

`\qquad \sf  \dashrightarrow \: (2x + 4) \degree = 180 \degree - 124 \degree`

`\qquad \sf  \dashrightarrow \: (2x + 4) \degree = 56 \degree`

`\qquad \sf  \dashrightarrow \: 2x = 56 \degree - 4 \degree`

`\qquad \sf  \dashrightarrow \: 2x = 52 \degree`

`\qquad \sf  \dashrightarrow \: x = 52 \degree / 2`

`\qquad \sf  \dashrightarrow \: x = 26 \degree`

Hope it helps ~