To find the measure of ∠MAR, we can set up an equation using the angle bisector theorem, which states that the ratio of the parts of a bisected angle is equal. In this case, we have:
m∠MAT / m∠RAT = m∠MAR / m∠RAR
Substitute in the given values:
(4x - 5) / (2x + 7) = m∠MAR / m∠MAR
Now we can solve for x:
(4x - 5) / (2x + 7) = 1
4x - 5 = 2x + 7
2x = 12
x = 6
Now we can find the measure of ∠MAR by substituting x back in:
m∠MAR = 4x - 5 = 4(6) - 5 = 24 - 5 = 19°
Therefore, the measure of ∠MAR is 19°.
So, the answer is: 19°
Ray AT bisects ∠MAR. If m∠MAT = (4x − 5)° and m∠RAT = (2x + 7)°, what is the m∠MAR.
6°
15°
19°
38°
1 answer
1 answer