It is known that triangles ABC and XYZ are similar, angle A is equal to angle X

| April 30, 2021 | education

It is known that triangles ABC and XYZ are similar, angle A is equal to angle X, angle B is equal to angle Y. Find angle X, if angle B is 72 degrees, angle Z is 93 degrees

To solve this problem, remember. that in such triangles the angles are respectively equal, and the sides are respectively proportional to the sides of the other triangle. Based on this, in triangles ABC and XYZ, angle A is equal to angle X, angle B is equal to angle Y, and angle Z is equal to angle C. Based on the fact that angle B is equal to angle Y, then angle Y = 72 degrees. Knowing that the sum of the angles of the triangle is 180 degrees, and the angle Z = 93 degrees, the angle Y = 72 degrees, we calculate the angle X.
X = 180-Y-Z = 180-93-72 = 15 degrees.
Answer: 15 degrees.



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