Question

In the figure below, what is the value of x

Answer 1

Answer:

x = 49°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°