Question

1 із кутів ромба дорівнює 64 градуса знайдіть кути які утворюють сторони ромба з його диагоналями

Answer 1

Кут А+кут В=180 градусів 180 -64=116 градусів-кут А 1)64:2=32 2)116:2=58

Answer 2

Finding the Angles of a Rhombus

To find the angles formed by the sides of a rhombus with its diagonals, we can use the given information that one of the angles of the rhombus is 64 degrees.

A rhombus is a quadrilateral with all sides of equal length. The diagonals of a rhombus bisect each other at right angles. Let's denote the angles formed by the sides of the rhombus with its diagonals as A, B, C, and D.

Since the diagonals of a rhombus bisect each other at right angles, we can conclude that angle A + angle C = 90 degrees, and angle B + angle D = 90 degrees.

Given that angle A = 64 degrees, we can substitute this value into the equation A + C = 90 degrees to find angle C.

A + C = 90 degrees 64 degrees + C = 90 degrees C = 90 degrees - 64 degrees C = 26 degrees

Therefore, angle C is 26 degrees.

Using the same logic, we can find angle D.

B + D