XPY is the circumference minus XY
the angle of arc XY is 90 degrees
a full revolution of a circle is 360 degrees
the distance XY is 1/4 of the circumference of the circle
the circumference of a circle is C=2 pi r
r is 10m
the circumference is 20 pi
1/4 of 20 is 5
the distance of arc XY is 5 pi
20pi - 5 pi = 15 pi
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:
x=4 y=6
Step-by-step explanation:
12 divide by 3 = 4
12 divide by 2 = 6
Answer:
Step-by-step explanation:
