Answer:
The measurements of the interior angles of the triangles are 45°-90°-45°
Step-by-step explanation:
we know that
A square is a quadrilateral with 4 equal sides and 4 interior angles of 90 degrees
The diagonal of a square bisect the square into two congruent isosceles right triangles
The two congruent legs of each isosceles right triangle is equal to the length side of the square
The measure of the base's angles of each isosceles right triangle is equal to 45 degrees, because the diagonal bisect the right angle of the square
therefore
The measurements of the interior angles of the triangles are 45°-90°-45°
Answer:
Sample Explanation:
Since the triangle shares an angle with the original square, the triangle has a right angle. Since the triangle has two angles that are congruent, the equation for the measures of all three angles is 90 + 2x = 180, and I found that x = 45. The angles in the triangle are 90°, 45°, and 45°.
Step-by-step explanation:
Finding Unknown Angle Measures Assignment
Finding Unknown Measurements
