How to find the measure of an angle in degrees


Asked by admin @ in Mathematics viewed by 278 People


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.

Answered by admin @



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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