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ratelena [41]
3 years ago
13

In the figure below, what is the value of x

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

<em>x = 49°</em>

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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To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or  m⟂t
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Required:

Prove that line m and n are parallel lines


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We know that line t is the transversal of the lines m and n.

With reference to the figure above, 

∠ 2 and ∠ 6 are right angles by definition of <u>perpendicular lines</u>. This states that if two lines are perpendicular with each other, they intersect at right angles.

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<em>ANSWERS: perpendicular lines, corresponding</em>

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3 years ago
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