Question

A diagonal of a rectangle is inclined to one side of the rectangle as 25°. What us the measure of acute angle between the diagonals?​

Answer 1

Answer:

${50}^{0}$

Step-by-step explanation:

As diagonal makes

${25}^{0}$

angle to one of side of rectangle. we draw perpendicular to that side from the intersection of the diagonal .We find that perpendicular bisects the angle between diagonal. We get half the angle using property of triangle.

That is sum of angle of triangle is

${180}^{0}$

Let triangle ABC form

where A= 25 degree

B=90 degree and we have to find C

from property of triangle, we find C is 65 degree that half of angle between diagonal. Full angle will be 130 degree. It also obtuse angle so acute angle will be 50 degree.