How is triangle qrt congruent to triangle qst?

The bisector QT divides the triangle equally in half- which would make the triangle congruent.  

The definition of bisector is The line that divides something into two equal parts.

The angles share the same side QT

ST = RT and ∠QTS = ∠QTR so the two triangles are congruent.

Step-by-step explanation:

Since ST is equal to RT

The two triangles share the same side QT and;

Angle QTS is equal to angle QTR

Then triangles QRT and QST are congruent

This is according to SSA principal that states if two triangles have to sides that are equal and a common angle value, then the triangles are congruent.

use formula for the circle a=3.14

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