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:
7-9
Step-by-step explanation:
Sebastian goes up from 0 by 7 floors. Then, he goes down by 9.
Answer:
P = 6x-2
x = 14
Step-by-step explanation:
To find the perimeter, we add the sides
P = 4x-8 + 3-2x + 5x+3
Combine like terms
P = 4x-3x+5x -8+3+3
= 6x -2
Now we know the perimeter
82 = 6x-2
Add 2 to each side
82+2 = 6x-2+2
84 = 6x
Divide each side by 6
84/6 = 6x/6
14=x
