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°

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

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

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

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

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

$\qquad \sf  \dashrightarrow \: x = 52 \degree \div 2$

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

Hope it helps ~