See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer:
The perimeter of the figure = 9.5 cm
Step-by-step explanation:
<em>Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.</em>
<em>Solution:</em>
The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.
So, here is the formula to calculate the perimeter.
<em>Perimeter </em>=<em> AB + DE + BC + AE + BC </em>
As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm
Therefore,
<em>Perimeter</em> = 1 3/4 + 1 1/4 + 13/10 + 1 1/5 ∵ AE + BC = 1 1/5
= (130 + 110 + 52 + 88) / 40
= 380/40
= 9.5 cm
So, the perimeter of the figure is = 9.5 cm
Keywords: perimeter
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Answer:
R2
Step-by-step explanation: