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

Tommy Glenn

Mathematics

13 October, 18:16

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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Answers (1)

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Kathy Lester · 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°