The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that 
∠A and ∠B are vertical angles
Thus 
∠A = ∠B 
and 
Also, from the given information,
m ∠A=(2x+26)° 
and 
m ∠B= (3x−29)° 
∴ (2x+26)° = (3x−29)°
Now, solve for x 
2x + 26 = 3x - 29 
26 + 29 = 3x - 2x 
55 = x 
∴ x = 55
But measure of angle A is given by 
m ∠A=(2x+26)°
Put the value of x into the equation, 
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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