Question

Find the value of x.

The figure shows a triangle with the left and right sides each marked with 1 tick mark. The top interior angle is 30 degrees. The lower left interior angle is x degrees.
(1 point)
Responses

75
75

70
70

60
60

80

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees.

In this case, we have the top interior angle of 30 degrees and the lower left interior angle of x degrees. The right interior angle can be found by subtracting the sum of the other two angles from 180 degrees:

180 - 30 - x = 150 - x

Since the left and right sides of the triangle each have 1 tick mark, they are congruent and therefore the left and right interior angles are equal.

This means that the right interior angle is also x degrees.

Therefore, we have:

x + x + 30 = 180

2x + 30 = 180

Subtracting 30 from both sides:

2x = 150

Dividing both sides by 2:

x = 75

Therefore, the value of x is 75.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x, we can use the fact that the sum of interior angles in a triangle is equal to 180 degrees.

Given that the top interior angle is 30 degrees and the right interior angle is 90 degrees (since it is a right triangle), we can calculate the value of the lower left interior angle.

We know that 30 + 90 + x = 180 (sum of interior angles in a triangle)

Simplifying the equation, we have:

120 + x = 180

Subtracting 120 from both sides, we get:

x = 60

Therefore, the value of x is 60 degrees.

Answer 3

[AI-generated answer — Explain Bot]

To find the value of x, we can use the fact that the sum of the interior angles of a triangle is 180 degrees. In this case, we know that the top interior angle is 30 degrees (given), and the left and right sides each have 1 tick mark, which means they are equal in length and therefore have equal angles.

Since the top angle is 30 degrees, and the left and right angles are equal, we can subtract 30 degrees from 180 degrees to find the total of the left and right angles: 180 - 30 = 150 degrees.

Since the left and right angles are equal, we can divide the total of the left and right angles by 2 to find the measure of each individual angle: 150 / 2 = 75 degrees.

Therefore, the value of x, which represents the measure of the lower left interior angle, is 75 degrees.