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.

y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)

x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)

Therefore, m/_x = 48 degrees.

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raphealnwobi raphealnwobi · Answer 2 · 2022-02-17T12:53:06+01:00

The measure of the interior angle x as shown in the triangle below is 48°

Triangle

A triangle is a polygon with three sides and three angles. Types of triangles are obtuse, scalene, isosceles and equilateral. The sum of all angles in a triangle is 180 degrees.

From the diagram:

y + 52 + 59 = 180° (sum of angles in a straight line)

y = 69°

x + y + 63 = 180° (sum of angles in a triangle)

x + 69 + 63 = 180

x = 48°

The measure of the interior angle x as shown in the triangle below is 48°

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