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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Answer:
<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>
Step-by-step explanation:
Given the expression 
To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;
Then we find the LCM of the resulting function
The final expression gives the required answer
56 = 2 x 2 x 2 x 732 = 2 x 2 x 2 x 2 x 2
GCF = 2 x 2 x 2 =8
Rewrite 56+32 as the product of the GCF and a sum:
56 + 32 = 8 (7+4)
Subtract 43 from both sides
-6p=-30
Divide both sides by -6
p=5
Final answer: p=5
