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 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x. 35° 48° 69° 78°

Question

Mathematics

Morgan Frazier

25 July, 13:15

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 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x. 35° 48° 69° 78°

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Wesley Holder · Answer 1

Okay, I think I understand.

Straight lines have a measure of 180°, so

52° + 59° + y = 180°

y = 69°

The measure of the inner angles of a polygon = (n - 2) 180° where n is the number of sides. The shape is a triangle, so n = 3.

(3 - 2) 180° = 63° + y + x

180° - 63° - (69°) = x

x = 48°