Find x in the figure

Angles of triangles Practice

1 answer

To find x in the figure, we need to use the properties of angles in triangles.

Let's start by labeling the angles in the figure:

Angle B = 30° (given)
Angle A = x° (unknown)
Angle C = 50° (given)
Angle D = 70° (given)

In triangle ABC, the sum of the interior angles is 180°:
Angle A + Angle B + Angle C = 180°

Plugging in the known values, we have:
x° + 30° + 50° = 180°

Combining like terms, we get:
x° + 80° = 180°

Next, we can isolate x by subtracting 80° from both sides:
x° = 100°

Therefore, x = 100°.