Question

Ray AT bisects ZMAR If mZMAT= (6x-4) and mZRAT = (2x+8)", what is the mZMAR

Answer 1

The measure of m<MAR= 28 de

What is angle bisector?

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

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