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°

1 answer

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

First, we find angle y:
y = 180 - 57 - 61
y = 62 degrees

Now, we can find angle x:
x = 180 - 62 - 67
x = 51 degrees

Therefore, the measure of angle x is 51 degrees.
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