3x - 20
2x - 30

Q: 3x - 20 2x - 30

To solve for $ x $ in the given diagram, we need to use the fact that the two angles are supplementary (they add up to $ 180^\circ $). The angles are given as: \[ 3x - 20 \quad \text{and} \quad 2x - 30 \] Set up the equation: \[ (3x - 20) + (2x - 30) = 180 \] Simplify and solve for $ x $: \[ 3x + 2x - 20 - 30 = 180 \] \[ 5x - 50 = 180 \] Add 50 to both sides: \[ 5x = 230 \] Divide by 5: \[ x = 46 \] Therefore, $ x = 46 $.

Question

3x - 20
2x - 30

Accepted Answer

To solve for $ x $ in the given diagram, we need to use the fact that the two angles are supplementary (they add up to $ 180^\circ $).

The angles are given as:

$$
3x - 20 \quad \text{and} \quad 2x - 30
$$

Set up the equation:

$$
(3x - 20) + (2x - 30) = 180
$$

Simplify and solve for $ x $:

$$
3x + 2x - 20 - 30 = 180
$$

$$
5x - 50 = 180
$$

Add 50 to both sides:

$$
5x = 230
$$

Divide by 5:

$$
x = 46
$$

Therefore, $ x = 46 $.

3x - 20 2x - 30

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