What is the next step in the construction of an angle bisector of angle abc?

A. Use straightedge to connect vertex B to right-most vertex of the equilateral triangle.

Step-by-step explanation:

The process is to create a bisector of angle ABC... so it means cutting angle at vertex/summit B in half.

Drawing a line from the vertex B to the right-most vertex of the equilateral triangle will deliver you the bisector.

The only answer choice that includes vertex B is the answer A, all other answers are dealing with vertex A and C... which will not help you to draw the bisector or angle ABC.

Option A is right

Step-by-step explanation:

Given in the picture is an angle B formed by line segments AB and BC

To construct bisector of angle B

First with centre at B a circle is drawn which meets AB and BC at D and E respectively. With same radius equal to DE and centres of D and E two circles are drawn which intersect at the right most point.

The next step is join B to the rightmost vertex of equilateral triangles

This will be the angle bisector of angle ABC

Hence option A is right

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

this answer is !