2 years ago

In the figure below, what is the value of x

Mathematics

1 answer:

kykrilka [37]2 years ago

3 0

Answer:

Step-by-step explanation:

<u>Angles in a Triangle</u>

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°

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