Uisbg multiple line and angle theorems, the values of each of the 14 angles are given.
Using the geometry theorems :
1.)
∠2 is a right angle = 90°
2.)
∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)
90 + ∠1 + 54° = 180°
∠1 = (180 - 144) = 36°
(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;
Hence,
∠4 = 36°
∠5 = 90°
∠6 = 54°
∠3 = ∠8 = 54° (corresponding angles)
∠9 + ∠8 = 180° (sum of angle on a straight line)
∠9 = (180 - 54) =126°
∠7 = ∠9 = 126° (vertically opposite angles)
∠8 = ∠10 = 54° (vertically opposite angles)
∠4 = ∠13 = 36° (corresponding angles )
∠12 + ∠13 = 180° (sum of angle on a straight line)
∠12 = (180 - 36) =126°
∠11 = ∠13 = 36° (vertically opposite angles)
∠12 = ∠14 = 126° (vertically opposite angles)
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To find the measure of the missing angles, use the fact that the sum of angles in a triangle is 180 degrees. Substitute the given value and solve for the missing angles. The measure of each missing angle is 126 degrees.
To find the measure of the missing angle, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know that m∠3 = 54°, and angles 1 and 2 are adjacent angles, we can use the equation:
m∠1 + m∠2 + m∠3 = 180
Substituting the given value for m∠3, we get:
m∠1 + m∠2 + 54 = 180
Now we can solve for the missing angles by rearranging the equation:
m∠1 + m∠2 = 180 - 54
m∠1 + m∠2 = 126
So, the measure of each missing angle is 126 degrees.
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Answer:
Step-by-step explanation:
Ellen is playing a video game in which she captures butterflies.there are 3 butterflies on screen, but the number of butterflies doubles every minute.after 4 minutes, she was able to capture 7 of the butterflies
Initial buttlerfies =3
Since doubles every minute, the no of butterflies follow a geometric progression, with first term =3, and common ratio =2
Hence in 4 minutes no of butterflies = 3(2)^(4-1) = 3(8) =24
So in 4 minutes no of butter flies =24
NO of buttlerflies captured = 7
Remaining butterflies = 17
Answer:
Step-by-step explanation:
We have been coordinates of a point . We are asked to find the coordinates of the point after a rotation of 180° about the origin.
We know that after rotating a point 180° about the origin, the coordinates of point changes their signs to opposite. The rule of rotating a point 180° about the origin is .
After rotating the point 180° about the origin its coordinates would be:
Therefore, the coordinates of the given point after a rotation of 180° about the origin would be .
Long distance telephone bill is really expensive because you are contacting someone outer than the realms of your allowed distance calls. That is why when you call someone far away, you need to pay to the added service and benefits.