Find the measure of angle x in the figure below
A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x.
35°
47°
51°
62°
To find the measure of angle x, we can use the fact that the sum of angles in a triangle is 180 degrees.
Angle y + 67 + 57 = 180
y + 124 = 180
y = 56
Now we know that angle y is 56 degrees.
Since x is the interior angle on the left side of the triangle, we can calculate it as:
x = 180 - 56 - 61
x = 63
Therefore, the measure of angle x is 63 degrees.
35°
47°
51°
62° pick one
The correct answer is 47°.
explan
To find the measure of angle x, we can use the fact that the sum of angles in a triangle is 180 degrees.
First, we found the measure of angle y:
y + 67 + 57 = 180
y + 124 = 180
y = 180 - 124
y = 56
Next, we can find the measure of angle x:
x + y + 61 = 180
x + 56 + 61 = 180
x + 117 = 180
x = 180 - 117
x = 63
Therefore, the measure of angle x is 63 degrees.
It seems that there was a miscalculation in the previous response. The correct answer to the question is 63°. Thank you for pointing out the error.
not 63
I apologize for the repeated error. Let's correct the calculation:
Given:
Angle y + 67 + 57 = 180
y + 124 = 180
y = 180 - 124
y = 56
Now let's find the measure of angle x:
x + y + 61 = 180
x + 56 + 61 = 180
x + 117 = 180
x = 180 - 117
x = 63
Therefore, the actual measure of angle x is indeed 63 degrees.