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Ray AT bisects ∠MAR. If m∠MAT = (6x − 4)° and m∠RAT = (2x + 8)°, what is the m∠MAR.

62°
28°
14°

Respuesta :

Answer: The value of angle MAR is 24

Step-by-step explanation: Hi my name is Madison and I’m going to help how to go about doing this question!
How to determine the value of MAR?

The given parameters are:m∠MAT = (6x − 4)° and m∠RAT = (2x + 8)°

The statement Ray AT bisects ∠MAR means that MAT = RAT

MAR = 2 *

MATSo, we have

6x - 4 = 2x + 8

Evaluate the like terms

4x = 12

Divide by 4x = 3

Substitute x = 3 in m∠MAT = (6x − 4)°m∠MAT = (6 * 3 − 4)°

Evaluate

m∠MAT = 14°Recall that MAR = 2 * MAT

So, we have

MAR = 2 * 14

Evaluate

MAR = 28

Hence, the value of angle MAR is 24 degrees