15. The cost of beverages in a vending machine is shown.
1 answer:
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Answer:
- 132°
Step-by-step explanation:
See attached
<h3>Given </h3>- JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°
- m∠JKL
<u>JKLM is a parallelogram and therefore has equal opposite angles:</u>
- ∠JKL = ∠JML and ∠KJM = ∠KLM
<u>Sum of all four is 360°:</u>
- 2m∠JKL + 2m∠KLM = 360°
- m∠JKL + m∠KLM = 180°
- m∠JKL + 48° = 180°
- m∠JKL = 180° - 48°
- m ∠JKL = 132°
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
