Question

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 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.

Answer 1

35 i took flvs test

Explanation:

Answer 2

The three angles on top are supplementar. This means that

`56+y+51 = 107+y = 180 \implies y = 180-107 = 73`

So, the angles of the triangle are x, 72 and 73. Again, we know that the sum of the interior angles of a triangle is 180, so we have something similas as before:

`72+x+73 = 145+x = 180 \implies y = 180-145 = 35`

So, the measure of angle x is 35.