Question

In the figure, find the value of x, if ∠1 = 60°. Option 1: x = 30° Option 2: x = 60° Option 3: x = 120° Option 4: x = 180°

Answer 1

To solve for the value of x in the figure, we can use the fact that angles around a point add up to 360°.

Step-by-step explanation:

To solve for the value of x, we need to use the fact that angles around a point add up to 360°.

Since ∠1 = 60°, we can use the fact that angles in a triangle add up to 180° to find that ∠3 = 180° - 60° - 50° = 70°.

Finally, since angles in a straight line add up to 180°, we can find that ∠2 = 180° - 70° = 110°. Therefore, the value of x is 110°.

Learn more about Angles in a triangle