They Wanted You to Spend 30 Minutes on This Do It in 30 Seconds

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They Wanted You to Spend 30 Minutes on This Do It in 30 Seconds

Math Booster · ⏱ 5:09 · 878 مشاهدة · 11 hours ago

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Given BC is equal to CD is equal to AD and angle BCD is 150 degrees angle CDA is 90 degrees and angle BAD is and we have to find angle So we have AD is equal to CD. And if we make square Suppose this point is And APCD is square. It is our construction. Then each side will be equal and each angle will be 90 degrees. And now at point this angle it will be 150 degrees minus 90 degrees that will be 60 degrees. And now if join BP, then in triangle BCP, it is CP is equal to BC and this angle is 60° that means it is an equilateral triangle. That means every angle it will be 60° and BP it will be equal to BC that is equal to CP. And now, in triangle APB, it is angle is 90° + 60° that will be 150° and AP is equal to BP. That means these two angles, they will be also equal. Suppose alpha. So, alpha plus alpha plus 150 degrees is 180 degrees. And two alpha is 180 degrees minus 150 degrees. And two alpha is 30 degrees. That means alpha it will be 15 degrees. This angle is 15 degrees. So, angle plus 15 degrees is 90 degrees. plus 15 degrees is 90 degrees. That means it will be 75 degrees.