The correct answer is
m∠B ==101°,
m∠C =79°,
m∠D=101°
Step-by-step explanation:
- As we know that, it is a parallelogram opposite angels are congruent
- Therefore, m∠A = m∠C and m∠B =m∠B
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As we know that, If side a=79 then side c must also be equal to 79
- When we consider all the angles and add them it must be equal to 360°
- When we add 79+79 = 158°, which mean a=c= 158°
- By subtracting all the sides of parallelogram which is 360- 158= 202°
- If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
- Dividing 202 by 2
= 101°- Therefore, the value of b=d=101°
- A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
- A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
Answer:
<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>
Step-by-step explanation:
If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°
(look at the picture).
We have
m∠EFG = 5n + 16
m∠GFH = 2n + 10
Substitute:
(5n + 16) + (2n + 10) = 180 <em>combine like terms</em>
(5n + 2n) + (16 + 10) = 180
7n + 26 = 180 <em>subtract 26 from both sides</em>
7n + 26 - 26 = 180 - 26
7n = 154 <em>divide both sides by 7</em>
7n/7 = 154/7
n = 22
Insert the value of n into expressions that specify angle measures:
m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°
m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°
True. <span>As the new two angles are complimentary,
the original angle is a right angle</span>
A polygon that has three sets of parallel lines would be a hexagon.
Answer:
n < 2
Step-by-step explanation:
This inequality can be solved the same way the corresponding 3-step linear equation would be solved.
8n +20 < 6n +24 . . . . . given
2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left
2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms
n < 2 . . . . . . . . . . . divide by the coefficient of the variable
