selgamil320
Answered

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Can you please help me

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Sagot :

sqdancefan

9514 1404 393

Answer:

  • x = 65°
  • y = 32.5°

Step-by-step explanation:

ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...

  x + x + 50° = 180°

  2x = 130° . . . . . . . . . subtract 50°, collect terms

  x = 65° . . . . . . . divide by 2

__

Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:

  y + y + (180° -x) = 180°

  2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x

  y -32.5° = 0 . . . . . . . divide by 2

  y = 32.5° . . . . . . . . . . add 32.5°

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