Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Step-by-step explanation:

ratio of the angles 6:5

when you draw diagonal inside a rhombus it creates four right angled triangle

one angle=90

6x+5x=90 ( the other angles is complimentary)

11x=90

x=90/11

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

3

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq