Is this all the problem wants ?
The measure of m<MAR= 28 de
<h3>What is angle bisector?</h3>
Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.
Given:
AT bisects <MAR
and, m<MAT= (6x-4) and and m<RAT = (2x+8)
As, <MAR is bisected by ray AT.
So,
<MAT = <RAT
6x-4= 2x+8
6x- 2x = 8+4
4x = 12
x= 3
So, <MAT = 6x-4= 6*3-4= 14
and, <RAT = 2x+8 = 14
Hence, MAR= <MAT + <RAT = 14+14=28
Learn more about angle bisector here:
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Answer:
Option D.
Step-by-step explanation:
Remember that
In a inscribed quadrilateral opposite angles are supplementary
so
In this problem
we have
substitute the values and solve for x