Given that Ray AT bisects ∠MAR, the numerical measure of angle MAR is 38 degrees.
A bisector divides a segment of angle into two equal halves.
Given the data in the question;
Since Ray AT bisects ∠MAR, this simply means that ∠MAT is equal to m∠RAT.
m∠MAT = m∠RAT
(4x − 5) = (2x + 7)
Collect like terms and solve for x
(4x − 5) = (2x + 7)
4x - 2x = 7 + 5
2x = 12
x = 12/2
x = 6
Now, the numerical measure of angle MAR will be;
∠MAR = m∠MAT + m∠RAT
∠MAR = (4x − 5) + (2x + 7)
Substitute in x = 6
∠MAR = 4(6) − 5 + 2(6) + 7
∠MAR = 24 − 5 + 12 + 7
∠MAR = 19 + 19
∠MAR = 38°
Given that Ray AT bisects ∠MAR, the numerical measure of angle MAR is 38 degrees.
Learn more about bisectors here: brainly.com/question/13880193
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